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74149504 = 2711134051
BaseRepresentation
bin1000110101101…
…10111010000000
312011112011222221
410122312322000
5122440241004
611205140424
71560155212
oct432667200
9164464887
1074149504
1138945690
12209ba714
1312492460
149bc25b2
15679a354
hex46b6e80

74149504 has 64 divisors (see below), whose sum is σ = 173587680. Its totient is φ = 31104000.

The previous prime is 74149499. The next prime is 74149519. The reversal of 74149504 is 40594147.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 74149504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16279 + ... + 20329.

Almost surely, 274149504 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 74149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86793840).

74149504 is an abundant number, since it is smaller than the sum of its proper divisors (99438176).

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

74149504 is a wasteful number, since it uses less digits than its factorization.

74149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 74149504 is about 8611.0106259370. The cubic root of 74149504 is about 420.1161885652.

The spelling of 74149504 in words is "seventy-four million, one hundred forty-nine thousand, five hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4051 4576 8102 9152 16204 18304 32408 44561 52663 64816 89122 105326 129632 178244 210652 259264 356488 421304 518528 579293 712976 842608 1158586 1425952 1685216 2317172 2851904 3370432 4634344 5703808 6740864 9268688 18537376 37074752 74149504