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74435472 = 243273297
BaseRepresentation
bin1000110111111…
…00101110010000
312012001201021100
410123330232100
5123023413342
611215224400
71562456016
oct433745620
9165051240
1074435472
1139020521
1220b18100
1312562677
149c588b6
156804e4c
hex46fcb90

74435472 has 90 divisors (see below), whose sum is σ = 213386082. Its totient is φ = 24219648.

The previous prime is 74435467. The next prime is 74435533. The reversal of 74435472 is 27453447.

74435472 is a `hidden beast` number, since 74 + 43 + 547 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13220496 + 61214976 = 3636^2 + 7824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 767328 + ... + 767424.

Almost surely, 274435472 is an apocalyptic number.

74435472 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 74435472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106693041).

74435472 is an abundant number, since it is smaller than the sum of its proper divisors (138950610).

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

74435472 is a wasteful number, since it uses less digits than its factorization.

74435472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 175 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 74435472 is about 8627.5994343734. The cubic root of 74435472 is about 420.6555748253.

The spelling of 74435472 in words is "seventy-four million, four hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 97 144 146 194 219 291 292 388 438 582 584 657 776 873 876 1164 1168 1314 1552 1746 1752 2328 2628 3492 3504 4656 5256 5329 6984 7081 10512 10658 13968 14162 15987 21243 21316 28324 31974 42486 42632 47961 56648 63729 63948 84972 85264 95922 113296 127458 127896 169944 191844 254916 255792 339888 383688 509832 516913 767376 1019664 1033826 1550739 2067652 3101478 4135304 4652217 6202956 8270608 9304434 12405912 18608868 24811824 37217736 74435472