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74561076 = 22323171941
BaseRepresentation
bin1000111000110…
…11011000110100
312012022002120100
410130123120310
5123041423301
611222034100
71563521142
oct434333064
9165262510
1074561076
11390a6927
1220b78930
13125a78a5
149c8c592
15682c286
hex471b634

74561076 has 72 divisors (see below), whose sum is σ = 197503488. Its totient is φ = 23688000.

The previous prime is 74561063. The next prime is 74561159. The reversal of 74561076 is 67016547.

74561076 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 74561076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78766 + ... + 79706.

It is an arithmetic number, because the mean of its divisors is an integer number (2743104).

Almost surely, 274561076 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 74561076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98751744).

74561076 is an abundant number, since it is smaller than the sum of its proper divisors (122942412).

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

74561076 is a wasteful number, since it uses less digits than its factorization.

74561076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 74561076 is about 8634.8755636662. The cubic root of 74561076 is about 420.8920495881.

The spelling of 74561076 in words is "seventy-four million, five hundred sixty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 852 941 1116 1278 1882 2201 2556 2823 3764 4402 5646 6603 8469 8804 11292 13206 16938 19809 26412 29171 33876 39618 58342 66811 79236 87513 116684 133622 175026 200433 262539 267244 350052 400866 525078 601299 801732 1050156 1202598 2071141 2405196 4142282 6213423 8284564 12426846 18640269 24853692 37280538 74561076