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5029376 = 29111947
BaseRepresentation
bin10011001011111000000000
3100110112000012
4103023320000
52241420001
6255444052
760514622
oct23137000
910415005
105029376
112925710
121826628
131071281
1494cc12
156952bb
hex4cbe00

5029376 has 80 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 2119680.

The previous prime is 5029361. The next prime is 5029393. The reversal of 5029376 is 6739205.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 106985 + ... + 107031.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 25029376 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 5029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

5029376 is an abundant number, since it is smaller than the sum of its proper divisors (6755584).

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

5029376 is a wasteful number, since it uses less digits than its factorization.

5029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 5029376 is about 2242.6270309617. The cubic root of 5029376 is about 171.3318226571.

The spelling of 5029376 in words is "five million, twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 47 64 76 88 94 128 152 176 188 209 256 304 352 376 418 512 517 608 704 752 836 893 1034 1216 1408 1504 1672 1786 2068 2432 2816 3008 3344 3572 4136 4864 5632 6016 6688 7144 8272 9728 9823 12032 13376 14288 16544 19646 24064 26752 28576 33088 39292 53504 57152 66176 78584 107008 114304 132352 157168 228608 264704 314336 457216 628672 1257344 2514688 5029376