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74963968 = 210193853
BaseRepresentation
bin1000111011111…
…01110000000000
312020001120020021
410131331300000
5123142321333
611234423224
71600116562
oct435756000
9166046207
1074963968
11393515a2
1221131b14
13126b90a1
149d55332
1568ab82d
hex477dc00

74963968 has 44 divisors (see below), whose sum is σ = 157782760. Its totient is φ = 35500032.

The previous prime is 74963963. The next prime is 74963971. The reversal of 74963968 is 86936947.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74963963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17530 + ... + 21382.

Almost surely, 274963968 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 74963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78891380).

74963968 is an abundant number, since it is smaller than the sum of its proper divisors (82818792).

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

74963968 is a wasteful number, since it uses less digits than its factorization.

74963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3874 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The square root of 74963968 is about 8658.1734794355. The cubic root of 74963968 is about 421.6487872422.

The spelling of 74963968 in words is "seventy-four million, nine hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2432 3853 4864 7706 9728 15412 19456 30824 61648 73207 123296 146414 246592 292828 493184 585656 986368 1171312 1972736 2342624 3945472 4685248 9370496 18740992 37481984 74963968