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52909632 = 263367457
BaseRepresentation
bin1100100111010…
…1011001000000
310200120002101000
43021311121000
5102021102012
65130012000
71211503326
oct311653100
9120502330
1052909632
1127958876
1215877000
13ac66899
147053d16
1549a1ddc
hex3275640

52909632 has 112 divisors (see below), whose sum is σ = 158211520. Its totient is φ = 17335296.

The previous prime is 52909613. The next prime is 52909657. The reversal of 52909632 is 23690925.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115548 + ... + 116004.

Almost surely, 252909632 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 52909632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79105760).

52909632 is an abundant number, since it is smaller than the sum of its proper divisors (105301888).

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

52909632 is a wasteful number, since it uses less digits than its factorization.

52909632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 52909632 is about 7273.9007416929. The cubic root of 52909632 is about 375.4149646422.

The spelling of 52909632 in words is "fifty-two million, nine hundred nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 402 432 457 536 576 603 804 864 914 1072 1206 1371 1608 1728 1809 1828 2144 2412 2742 3216 3618 3656 4113 4288 4824 5484 6432 7236 7312 8226 9648 10968 12339 12864 14472 14624 16452 19296 21936 24678 28944 29248 30619 32904 38592 43872 49356 57888 61238 65808 87744 91857 98712 115776 122476 131616 183714 197424 244952 263232 275571 367428 394848 489904 551142 734856 789696 826713 979808 1102284 1469712 1653426 1959616 2204568 2939424 3306852 4409136 5878848 6613704 8818272 13227408 17636544 26454816 52909632