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74664744 = 23371123673
BaseRepresentation
bin1000111001101…
…00101100101000
312012111100202220
410130310230220
5123103232434
611224154040
71564432320
oct434645450
9165440686
1074664744
1139167800
1221008920
1312612b2b
149cb8280
15684cd49
hex4734b28

74664744 has 96 divisors (see below), whose sum is σ = 234548160. Its totient is φ = 19388160.

The previous prime is 74664721. The next prime is 74664761. The reversal of 74664744 is 44746647.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 74664696 and 74664705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18492 + ... + 22164.

It is an arithmetic number, because the mean of its divisors is an integer number (2443210).

Almost surely, 274664744 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 74664744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117274080).

74664744 is an abundant number, since it is smaller than the sum of its proper divisors (159883416).

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

74664744 is a wasteful number, since it uses less digits than its factorization.

74664744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3696 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 74664744 is about 8640.8763444456. The cubic root of 74664744 is about 421.0870254514.

The spelling of 74664744 in words is "seventy-four million, six hundred sixty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 3673 5082 6776 7346 10164 11019 14692 20328 22038 25711 29384 40403 44076 51422 77133 80806 88152 102844 121209 154266 161612 205688 242418 282821 308532 323224 444433 484836 565642 617064 848463 888866 969672 1131284 1333299 1696926 1777732 2262568 2666598 3111031 3393852 3555464 5333196 6222062 6787704 9333093 10666392 12444124 18666186 24888248 37332372 74664744