Search a number
-
+
74581272 = 233223291553
BaseRepresentation
bin1000111001000…
…00010100011000
312012100010021100
410130200110120
5123043100042
611222311400
71563634053
oct434402430
9165303240
1074581272
1139110017
1220b88560
13125b3b3c
149c95a9a
15683324c
hex4720518

74581272 has 96 divisors (see below), whose sum is σ = 218181600. Its totient is φ = 22944768.

The previous prime is 74581267. The next prime is 74581279. The reversal of 74581272 is 27218547.

74581272 is a `hidden beast` number, since 7 + 4 + 581 + 2 + 72 = 666.

It is a super-2 number, since 2×745812722 = 11124732266275968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74581279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47248 + ... + 48800.

It is an arithmetic number, because the mean of its divisors is an integer number (2272725).

Almost surely, 274581272 is an apocalyptic number.

74581272 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 74581272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109090800).

74581272 is an abundant number, since it is smaller than the sum of its proper divisors (143600328).

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

74581272 is a wasteful number, since it uses less digits than its factorization.

74581272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1610 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 74581272 is about 8636.0449280906. The cubic root of 74581272 is about 420.9300478258.

74581272 divided by its sum of digits (36) gives a palindrome (2071702).

The spelling of 74581272 in words is "seventy-four million, five hundred eighty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 348 414 522 552 667 696 828 1044 1334 1553 1656 2001 2088 2668 3106 4002 4659 5336 6003 6212 8004 9318 12006 12424 13977 16008 18636 24012 27954 35719 37272 45037 48024 55908 71438 90074 107157 111816 135111 142876 180148 214314 270222 285752 321471 360296 405333 428628 540444 642942 810666 857256 1035851 1080888 1285884 1621332 2071702 2571768 3107553 3242664 4143404 6215106 8286808 9322659 12430212 18645318 24860424 37290636 74581272