Search a number
-
+
78948450 = 23252771353
BaseRepresentation
bin1001011010010…
…10100001100010
312111112222220200
410231022201202
5130202322300
611500050030
71646023260
oct455124142
9174488820
1078948450
1140623159
1222533916
1313482879
14a6b1430
156de7200
hex4b4a862

78948450 has 144 divisors (see below), whose sum is σ = 246519936. Its totient is φ = 17740800.

The previous prime is 78948409. The next prime is 78948451. The reversal of 78948450 is 5484987.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 78948396 and 78948405.

It is not an unprimeable number, because it can be changed into a prime (78948451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223474 + ... + 223826.

It is an arithmetic number, because the mean of its divisors is an integer number (1711944).

Almost surely, 278948450 is an apocalyptic number.

78948450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78948450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123259968).

78948450 is an abundant number, since it is smaller than the sum of its proper divisors (167571486).

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

78948450 is a wasteful number, since it uses less digits than its factorization.

78948450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 78948450 is about 8885.2940300251. The cubic root of 78948450 is about 428.9906920894.

The spelling of 78948450 in words is "seventy-eight million, nine hundred forty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 71 75 90 105 126 142 150 175 210 213 225 315 350 353 355 426 450 497 525 630 639 706 710 994 1050 1059 1065 1278 1491 1575 1765 1775 2118 2130 2471 2485 2982 3150 3177 3195 3530 3550 4473 4942 4970 5295 5325 6354 6390 7413 7455 8825 8946 10590 10650 12355 12425 14826 14910 15885 15975 17650 22239 22365 24710 24850 25063 26475 31770 31950 37065 37275 44478 44730 50126 52950 61775 74130 74550 75189 79425 111195 111825 123550 125315 150378 158850 175441 185325 222390 223650 225567 250630 350882 370650 375945 451134 526323 555975 626575 751890 877205 1052646 1111950 1127835 1253150 1578969 1754410 1879725 2255670 2631615 3157938 3759450 4386025 5263230 5639175 7894845 8772050 11278350 13158075 15789690 26316150 39474225 78948450