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74878464 = 29329412
BaseRepresentation
bin1000111011010…
…00111000000000
312012220012221110
410131220320000
5123132102324
611232523320
71566312363
oct435507000
9165805843
1074878464
11392a3331
12210b0540
13126891ab
149d320da
156891329
hex4768e00

74878464 has 120 divisors (see below), whose sum is σ = 211515480. Its totient is φ = 23511040.

The previous prime is 74878457. The next prime is 74878469. The reversal of 74878464 is 46487847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74878469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1826284 + ... + 1826324.

It is an arithmetic number, because the mean of its divisors is an integer number (1762629).

Almost surely, 274878464 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 74878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105757740).

74878464 is an abundant number, since it is smaller than the sum of its proper divisors (136637016).

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

74878464 is an equidigital number, since it uses as much as digits as its factorization.

74878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 75 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The square root of 74878464 is about 8653.2343086270. The cubic root of 74878464 is about 421.4884152004.

It can be divided in two parts, 7487 and 8464, that added together give a palindrome (15951).

The spelling of 74878464 in words is "seventy-four million, eight hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 64 82 87 96 116 123 128 164 174 192 232 246 256 328 348 384 464 492 512 656 696 768 928 984 1189 1312 1392 1536 1681 1856 1968 2378 2624 2784 3362 3567 3712 3936 4756 5043 5248 5568 6724 7134 7424 7872 9512 10086 10496 11136 13448 14268 14848 15744 19024 20172 20992 22272 26896 28536 31488 38048 40344 44544 48749 53792 57072 62976 76096 80688 97498 107584 114144 146247 152192 161376 194996 215168 228288 292494 304384 322752 389992 430336 456576 584988 608768 645504 779984 860672 913152 1169976 1291008 1559968 1826304 2339952 2582016 3119936 4679904 6239872 9359808 12479744 18719616 24959488 37439232 74878464