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152320050 = 232523161179
BaseRepresentation
bin10010001010000…
…11100000110010
3101121121122211100
421011003200302
5302443220200
623040425230
73526461531
oct1105034062
9347548740
10152320050
1178a87343
1243018216
1325731c0c
1416330318
15d58bd00
hex9143832

152320050 has 144 divisors (see below), whose sum is σ = 431758080. Its totient is φ = 38448000.

The previous prime is 152320033. The next prime is 152320057. The reversal of 152320050 is 50023251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (152320057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 850861 + ... + 851039.

It is an arithmetic number, because the mean of its divisors is an integer number (2998320).

Almost surely, 2152320050 is an apocalyptic number.

152320050 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 152320050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

152320050 is an abundant number, since it is smaller than the sum of its proper divisors (279438030).

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

152320050 is a wasteful number, since it uses less digits than its factorization.

152320050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 152320050 is about 12341.8009220697. The cubic root of 152320050 is about 534.0546381832.

The spelling of 152320050 in words is "one hundred fifty-two million, three hundred twenty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 61 62 75 90 93 122 150 155 179 183 186 225 279 305 310 358 366 450 465 537 549 558 610 775 895 915 930 1074 1098 1395 1525 1550 1611 1790 1830 1891 2325 2685 2745 2790 3050 3222 3782 4475 4575 4650 5370 5490 5549 5673 6975 8055 8950 9150 9455 10919 11098 11346 13425 13725 13950 16110 16647 17019 18910 21838 26850 27450 27745 28365 32757 33294 34038 40275 47275 49941 54595 55490 56730 65514 80550 83235 85095 94550 98271 99882 109190 138725 141825 163785 166470 170190 196542 249705 272975 277450 283650 327570 338489 416175 425475 491355 499410 545950 676978 818925 832350 850950 982710 1015467 1248525 1637850 1692445 2030934 2456775 2497050 3046401 3384890 4913550 5077335 6092802 8462225 10154670 15232005 16924450 25386675 30464010 50773350 76160025 152320050