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53992944 = 2432715281
BaseRepresentation
bin1100110111110…
…1110111110000
310202121010101200
43031331313300
5102310233234
65205131200
71223634555
oct315756760
9122533350
1053992944
1128528775
12160b9b00
13b2559b5
147256a2c
154b17d99
hex337ddf0

53992944 has 60 divisors (see below), whose sum is σ = 153262512. Its totient is φ = 17740800.

The previous prime is 53992943. The next prime is 53992963. The reversal of 53992944 is 44929935.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53992944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53992943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7584 + ... + 12864.

Almost surely, 253992944 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 53992944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76631256).

53992944 is an abundant number, since it is smaller than the sum of its proper divisors (99269568).

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

53992944 is a wasteful number, since it uses less digits than its factorization.

53992944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5357 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 53992944 is about 7347.9891126757. The cubic root of 53992944 is about 377.9598512830.

The spelling of 53992944 in words is "fifty-three million, nine hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 5281 10224 10562 15843 21124 31686 42248 47529 63372 84496 95058 126744 190116 253488 374951 380232 749902 760464 1124853 1499804 2249706 2999608 3374559 4499412 5999216 6749118 8998824 13498236 17997648 26996472 53992944