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78076152 = 233271114083
BaseRepresentation
bin1001010011101…
…01100011111000
312102220200100100
410221311203320
5124441414102
611425235400
71635431160
oct451654370
9172820310
1078076152
1140087850
1222192b60
131323880b
14a5255a0
156cc3a1c
hex4a758f8

78076152 has 96 divisors (see below), whose sum is σ = 263652480. Its totient is φ = 20278080.

The previous prime is 78076147. The next prime is 78076181. The reversal of 78076152 is 25167087.

It is a super-2 number, since 2×780761522 = 12191771022254208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1498 + ... + 12585.

It is an arithmetic number, because the mean of its divisors is an integer number (2746380).

Almost surely, 278076152 is an apocalyptic number.

78076152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78076152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131826240).

78076152 is an abundant number, since it is smaller than the sum of its proper divisors (185576328).

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

78076152 is a wasteful number, since it uses less digits than its factorization.

78076152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14113 (or 14106 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 78076152 is about 8836.0710725978. The cubic root of 78076152 is about 427.4048705945.

The spelling of 78076152 in words is "seventy-eight million, seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 14083 28166 42249 56332 84498 98581 112664 126747 154913 168996 197162 253494 295743 309826 337992 394324 464739 506988 591486 619652 788648 887229 929478 1013976 1084391 1182972 1239304 1394217 1774458 1858956 2168782 2365944 2788434 3253173 3548916 3717912 4337564 5576868 6506346 7097832 8675128 9759519 11153736 13012692 19519038 26025384 39038076 78076152