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74265216 = 273375227
BaseRepresentation
bin1000110110100…
…11001010000000
312011202001201120
410123103022000
5123002441331
611211432240
71561146444
oct433231200
9164661646
1074265216
1138a14613
1220a55680
131250301c
149c12824
1567be796
hex46d3280

74265216 has 64 divisors (see below), whose sum is σ = 202637280. Its totient is φ = 24081408.

The previous prime is 74265211. The next prime is 74265221. The reversal of 74265216 is 61256247.

It is an interprime number because it is at equal distance from previous prime (74265211) and next prime (74265221).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (74265211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11595 + ... + 16821.

Almost surely, 274265216 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 74265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101318640).

74265216 is an abundant number, since it is smaller than the sum of its proper divisors (128372064).

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

74265216 is a wasteful number, since it uses less digits than its factorization.

74265216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5269 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 74265216 is about 8617.7268464485. The cubic root of 74265216 is about 420.3346086342.

The spelling of 74265216 in words is "seventy-four million, two hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 5227 7104 10454 14208 15681 20908 31362 41816 62724 83632 125448 167264 193399 250896 334528 386798 501792 580197 669056 773596 1003584 1160394 1547192 2007168 2320788 3094384 4641576 6188768 9283152 12377536 18566304 24755072 37132608 74265216