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78893568 = 293313439
BaseRepresentation
bin1001011001111…
…01001000000000
312111110012122000
410230331020000
5130144043233
611454544000
71645404255
oct454751000
9174405560
1078893568
11405959a6
1222508000
13134638b0
14a69942c
156dd5d13
hex4b3d200

78893568 has 160 divisors (see below), whose sum is σ = 252067200. Its totient is φ = 24219648.

The previous prime is 78893539. The next prime is 78893593. The reversal of 78893568 is 86539887.

It is a happy number.

78893568 is a `hidden beast` number, since 78 + 8 + 9 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179493 + ... + 179931.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 278893568 is an apocalyptic number.

78893568 is a gapful number since it is divisible by the number (78) 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 78893568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126033600).

78893568 is an abundant number, since it is smaller than the sum of its proper divisors (173173632).

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

78893568 is a wasteful number, since it uses less digits than its factorization.

78893568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 457 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 78893568 is about 8882.2051316101. The cubic root of 78893568 is about 428.8912629688.

The spelling of 78893568 in words is "seventy-eight million, eight hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 439 468 512 576 624 702 768 832 864 878 936 1152 1248 1317 1404 1536 1664 1728 1756 1872 2304 2496 2634 2808 3328 3456 3512 3744 3951 4608 4992 5268 5616 5707 6656 6912 7024 7488 7902 9984 10536 11232 11414 11853 13824 14048 14976 15804 17121 19968 21072 22464 22828 23706 28096 29952 31608 34242 42144 44928 45656 47412 51363 56192 59904 63216 68484 84288 89856 91312 94824 102726 112384 126432 136968 154089 168576 179712 182624 189648 205452 224768 252864 273936 308178 337152 365248 379296 410904 505728 547872 616356 674304 730496 758592 821808 1011456 1095744 1232712 1460992 1517184 1643616 2022912 2191488 2465424 2921984 3034368 3287232 4382976 4930848 6068736 6574464 8765952 9861696 13148928 19723392 26297856 39446784 78893568