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74820816 = 24327199373
BaseRepresentation
bin1000111010110…
…10110011010000
312012210021212100
410131122303100
5123123231231
611231400400
71565652330
oct435326320
9165707770
1074820816
1139263a94
1221083100
1312668b95
149d190c0
15687e1e6
hex475acd0

74820816 has 120 divisors (see below), whose sum is σ = 241155200. Its totient is φ = 21212928.

The previous prime is 74820799. The next prime is 74820827. The reversal of 74820816 is 61802847.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200406 + ... + 200778.

Almost surely, 274820816 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 74820816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120577600).

74820816 is an abundant number, since it is smaller than the sum of its proper divisors (166334384).

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

74820816 is a wasteful number, since it uses less digits than its factorization.

74820816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 74820816 is about 8649.9026584118. The cubic root of 74820816 is about 421.3802211968.

The spelling of 74820816 in words is "seventy-four million, eight hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 199 252 336 373 398 504 597 746 796 1008 1119 1194 1393 1492 1592 1791 2238 2388 2611 2786 2984 3184 3357 3582 4179 4476 4776 5222 5572 5968 6714 7164 7833 8358 8952 9552 10444 11144 12537 13428 14328 15666 16716 17904 20888 22288 23499 25074 26856 28656 31332 33432 41776 46998 50148 53712 62664 66864 74227 93996 100296 125328 148454 187992 200592 222681 296908 375984 445362 519589 593816 668043 890724 1039178 1187632 1336086 1558767 1781448 2078356 2672172 3117534 3562896 4156712 4676301 5344344 6235068 8313424 9352602 10688688 12470136 18705204 24940272 37410408 74820816