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53438976 = 293211597
BaseRepresentation
bin1100101111011…
…0101000000000
310201112222111100
43023312220000
5102140021401
65145214400
71216136523
oct313665000
9121488440
1053438976
112818a548
1215a91400
13b0c07c6
147150bba
154a58b86
hex32f6a00

53438976 has 60 divisors (see below), whose sum is σ = 154241802. Its totient is φ = 17811456.

The previous prime is 53438971. The next prime is 53438977. The reversal of 53438976 is 67983435.

It can be written as a sum of positive squares in only one way, i.e., 36000000 + 17438976 = 6000^2 + 4176^2 .

It is not an unprimeable number, because it can be changed into a prime (53438971) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1191 + ... + 10406.

Almost surely, 253438976 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 53438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77120901).

53438976 is an abundant number, since it is smaller than the sum of its proper divisors (100802826).

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

53438976 is a wasteful number, since it uses less digits than its factorization.

53438976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11621 (or 11602 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 53438976 is about 7310.1967141794. The cubic root of 53438976 is about 376.6627815229.

The spelling of 53438976 in words is "fifty-three million, four hundred thirty-eight thousand, nine hundred seventy-six".

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 11597 23194 34791 46388 69582 92776 104373 139164 185552 208746 278328 371104 417492 556656 742208 834984 1113312 1484416 1669968 2226624 2968832 3339936 4453248 5937664 6679872 8906496 13359744 17812992 26719488 53438976