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74410272 = 2533711213
BaseRepresentation
bin1000110111101…
…10100100100000
312012000102201000
410123312210200
5123022112042
611214512000
71562322366
oct433664440
9165012630
1074410272
11390035a2
1220b05600
1312554061
149c4d636
1567ec74c
hex46f6920

74410272 has 96 divisors (see below), whose sum is σ = 220268160. Its totient is φ = 24433920.

The previous prime is 74410243. The next prime is 74410277. The reversal of 74410272 is 27201447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×744102722 = 11073777158227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (74410277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60738 + ... + 61950.

It is an arithmetic number, because the mean of its divisors is an integer number (2294460).

Almost surely, 274410272 is an apocalyptic number.

74410272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74410272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110134080).

74410272 is an abundant number, since it is smaller than the sum of its proper divisors (145857888).

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

74410272 is a wasteful number, since it uses less digits than its factorization.

74410272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 74410272 is about 8626.1388813304. The cubic root of 74410272 is about 420.6080987287.

The spelling of 74410272 in words is "seventy-four million, four hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1213 1278 1704 1917 2272 2426 2556 3408 3639 3834 4852 5112 6816 7278 7668 9704 10224 10917 14556 15336 19408 20448 21834 29112 30672 32751 38816 43668 58224 61344 65502 86123 87336 116448 131004 172246 174672 258369 262008 344492 349344 516738 524016 688984 775107 1033476 1048032 1377968 1550214 2066952 2325321 2755936 3100428 4133904 4650642 6200856 8267808 9301284 12401712 18602568 24803424 37205136 74410272