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74045952 = 293216069
BaseRepresentation
bin1000110100111…
…01101000000000
312011022220221200
410122131220000
5122423432302
611203021200
71556244261
oct432355000
9164286850
1074045952
1138884902
122096a800
1312457296
149b96968
15677981c
hex469da00

74045952 has 60 divisors (see below), whose sum is σ = 213714930. Its totient is φ = 24680448.

The previous prime is 74045911. The next prime is 74046001. The reversal of 74045952 is 25954047.

It can be written as a sum of positive squares in only one way, i.e., 68956416 + 5089536 = 8304^2 + 2256^2 .

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 5 ways as a sum of consecutive naturals, for example, 3427 + ... + 12642.

Almost surely, 274045952 is an apocalyptic number.

74045952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74045952 is an abundant number, since it is smaller than the sum of its proper divisors (139668978).

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

74045952 is a wasteful number, since it uses less digits than its factorization.

74045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16093 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 74045952 is about 8604.9957582790. The cubic root of 74045952 is about 419.9205291815.

Adding to 74045952 its reverse (25954047), we get a palindrome (99999999).

The spelling of 74045952 in words is "seventy-four million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 16069 32138 48207 64276 96414 128552 144621 192828 257104 289242 385656 514208 578484 771312 1028416 1156968 1542624 2056832 2313936 3085248 4113664 4627872 6170496 8227328 9255744 12340992 18511488 24681984 37022976 74045952