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74751264 = 2532725297
BaseRepresentation
bin1000111010010…
…01110100100000
312012122202110100
410131021310200
5123114020024
611230102400
71565242500
oct435116440
9165582410
1074751264
1139216805
122104aa00
1312643323
149cdba00
1568687c9
hex4749d20

74751264 has 108 divisors (see below), whose sum is σ = 247326534. Its totient is φ = 21353472.

The previous prime is 74751239. The next prime is 74751269. The reversal of 74751264 is 46215747.

It can be written as a sum of positive squares in only one way, i.e., 53406864 + 21344400 = 7308^2 + 4620^2 .

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

It is not an unprimeable number, because it can be changed into a prime (74751269) 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 17 ways as a sum of consecutive naturals, for example, 11464 + ... + 16760.

Almost surely, 274751264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74751264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123663267).

74751264 is an abundant number, since it is smaller than the sum of its proper divisors (172575270).

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

74751264 is a wasteful number, since it uses less digits than its factorization.

74751264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5309 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 74751264 is about 8645.8813315937. The cubic root of 74751264 is about 421.2496117188.

The spelling of 74751264 in words is "seventy-four million, seven hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 5297 7056 10594 14112 15891 21188 31782 37079 42376 47673 63564 74158 84752 95346 111237 127128 148316 169504 190692 222474 254256 259553 296632 333711 381384 444948 508512 519106 593264 667422 762768 778659 889896 1038212 1186528 1334844 1525536 1557318 1779792 2076424 2335977 2669688 3114636 3559584 4152848 4671954 5339376 6229272 8305696 9343908 10678752 12458544 18687816 24917088 37375632 74751264