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74386944 = 29335381
BaseRepresentation
bin1000110111100…
…00111000000000
312011222020201000
410123300320000
5123020340234
611214212000
71562164362
oct433607000
9164866630
1074386944
1138a98015
1220ab4000
1312546558
149c44d32
1567e5899
hex46f0e00

74386944 has 80 divisors (see below), whose sum is σ = 220231440. Its totient is φ = 24791040.

The previous prime is 74386933. The next prime is 74386973. The reversal of 74386944 is 44968347.

It is a self number, because there is not a number n which added to its sum of digits gives 74386944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11134 + ... + 16514.

It is an arithmetic number, because the mean of its divisors is an integer number (2752893).

Almost surely, 274386944 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 74386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110115720).

74386944 is an abundant number, since it is smaller than the sum of its proper divisors (145844496).

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

74386944 is an equidigital number, since it uses as much as digits as its factorization.

74386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5386 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 74386944 is about 8624.7866060558. The cubic root of 74386944 is about 420.5641398728.

The spelling of 74386944 in words is "seventy-four million, three hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 5381 6912 10762 13824 16143 21524 32286 43048 48429 64572 86096 96858 129144 145287 172192 193716 258288 290574 344384 387432 516576 581148 688768 774864 1033152 1162296 1377536 1549728 2066304 2324592 2755072 3099456 4132608 4649184 6198912 8265216 9298368 12397824 18596736 24795648 37193472 74386944