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155920050 = 2325211132423
BaseRepresentation
bin10010100101100…
…10011010110010
3101212101120002200
421102302122302
5304403420200
623245524030
73602204256
oct1122623262
9355346080
10155920050
1180016050
1244273616
13263c26b0
14169ca266
15da4d800
hex94b26b2

155920050 has 144 divisors (see below), whose sum is σ = 492343488. Its totient is φ = 34876800.

The previous prime is 155920003. The next prime is 155920057. The reversal of 155920050 is 50029551.

It is a super-2 number, since 2×1559200502 = 48622123984005000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 155919996 and 155920023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155920057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63139 + ... + 65561.

It is an arithmetic number, because the mean of its divisors is an integer number (3419052).

Almost surely, 2155920050 is an apocalyptic number.

155920050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155920050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246171744).

155920050 is an abundant number, since it is smaller than the sum of its proper divisors (336423438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155920050 is a wasteful number, since it uses less digits than its factorization.

155920050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 155920050 is about 12486.7950251456. The cubic root of 155920050 is about 538.2292822784.

It can be divided in two parts, 1559 and 20050, that added together give a square (21609 = 1472).

The spelling of 155920050 in words is "one hundred fifty-five million, nine hundred twenty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 195 198 225 234 275 286 325 330 390 429 450 495 550 585 650 715 825 858 975 990 1170 1287 1430 1650 1950 2145 2423 2475 2574 2925 3575 4290 4846 4950 5850 6435 7150 7269 10725 12115 12870 14538 21450 21807 24230 26653 31499 32175 36345 43614 53306 60575 62998 64350 72690 79959 94497 109035 121150 133265 157495 159918 181725 188994 218070 239877 266530 283491 314990 346489 363450 399795 472485 479754 545175 566982 666325 692978 787475 799590 944970 1039467 1090350 1199385 1332650 1417455 1574950 1732445 1998975 2078934 2362425 2398770 2834910 3118401 3464890 3997950 4724850 5197335 5996925 6236802 7087275 8662225 10394670 11993850 14174550 15592005 17324450 25986675 31184010 51973350 77960025 155920050