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53813976 = 23317413217
BaseRepresentation
bin1100110101001…
…0001011011000
310202021000220020
43031102023120
5102234021401
65201230440
71222261026
oct315221330
9122230806
1053813976
1128416267
1216032420
13b1c23b8
14720b716
154aced36
hex33522d8

53813976 has 64 divisors (see below), whose sum is σ = 145968480. Its totient is φ = 16465920.

The previous prime is 53813971. The next prime is 53813983. The reversal of 53813976 is 67931835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53813971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15120 + ... + 18336.

Almost surely, 253813976 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 53813976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72984240).

53813976 is an abundant number, since it is smaller than the sum of its proper divisors (92154504).

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

53813976 is a wasteful number, since it uses less digits than its factorization.

53813976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3280 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 53813976 is about 7335.8009787616. The cubic root of 53813976 is about 377.5417868162.

The spelling of 53813976 in words is "fifty-three million, eight hundred thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 3217 4182 5576 6434 8364 9651 12868 16728 19302 25736 38604 54689 77208 109378 131897 164067 218756 263794 328134 395691 437512 527588 656268 791382 1055176 1312536 1582764 2242249 3165528 4484498 6726747 8968996 13453494 17937992 26906988 53813976