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74079216 = 24321393701
BaseRepresentation
bin1000110101001…
…01101111110000
312011101121120200
410122211233300
5122431013331
611203435200
71556443251
oct432455760
9164347520
1074079216
11388a78a2
1220985b00
1312469473
149ba4b28
1567845e6
hex46a5bf0

74079216 has 60 divisors (see below), whose sum is σ = 208866840. Its totient is φ = 24508800.

The previous prime is 74079209. The next prime is 74079221. The reversal of 74079216 is 61297047.

It is a happy number.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18166 + ... + 21866.

It is an arithmetic number, because the mean of its divisors is an integer number (3481114).

Almost surely, 274079216 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 74079216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104433420).

74079216 is an abundant number, since it is smaller than the sum of its proper divisors (134787624).

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

74079216 is a wasteful number, since it uses less digits than its factorization.

74079216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 74079216 is about 8606.9283719571. The cubic root of 74079216 is about 419.9834007045.

The spelling of 74079216 in words is "seventy-four million, seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 3701 5004 6672 7402 10008 11103 14804 20016 22206 29608 33309 44412 59216 66618 88824 133236 177648 266472 514439 532944 1028878 1543317 2057756 3086634 4115512 4629951 6173268 8231024 9259902 12346536 18519804 24693072 37039608 74079216