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74724468 = 223713411669
BaseRepresentation
bin1000111010000…
…11010001110100
312012121101200220
410131003101310
5123112140333
611225334340
71565101410
oct435032164
9165541626
1074724468
11391a8665
12210373b0
1312634080
149cd1d40
1568608b3
hex4743474

74724468 has 96 divisors (see below), whose sum is σ = 219959040. Its totient is φ = 19215360.

The previous prime is 74724467. The next prime is 74724487. The reversal of 74724468 is 86442747.

74724468 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×747244682 = 11167492235766048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74724467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43938 + ... + 45606.

It is an arithmetic number, because the mean of its divisors is an integer number (2291240).

Almost surely, 274724468 is an apocalyptic number.

74724468 is a gapful number since it is divisible by the number (78) 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 74724468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109979520).

74724468 is an abundant number, since it is smaller than the sum of its proper divisors (145234572).

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

74724468 is a wasteful number, since it uses less digits than its factorization.

74724468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 74724468 is about 8644.3315531046. The cubic root of 74724468 is about 421.1992707478.

The spelling of 74724468 in words is "seventy-four million, seven hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 52 78 82 84 91 123 156 164 182 246 273 287 364 492 533 546 574 861 1066 1092 1148 1599 1669 1722 2132 3198 3338 3444 3731 5007 6396 6676 7462 10014 11193 11683 14924 20028 21697 22386 23366 35049 43394 44772 46732 65091 68429 70098 86788 130182 136858 140196 151879 205287 260364 273716 303758 410574 455637 479003 607516 821148 889577 911274 958006 1437009 1779154 1822548 1916012 2668731 2874018 3558308 5337462 5748036 6227039 10674924 12454078 18681117 24908156 37362234 74724468