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53788728 = 2337353907
BaseRepresentation
bin1100110100110…
…0000000111000
310202012202021010
43031030000320
5102232214403
65200513520
71222124310
oct315140070
9122182233
1053788728
11283a92a4
121601b8a0
13b1b3a66
147202440
154ac7603
hex334c038

53788728 has 64 divisors (see below), whose sum is σ = 154287360. Its totient is φ = 15307776.

The previous prime is 53788699. The next prime is 53788729. The reversal of 53788728 is 82788735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53788729) 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, 58851 + ... + 59757.

It is an arithmetic number, because the mean of its divisors is an integer number (2410740).

Almost surely, 253788728 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 53788728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77143680).

53788728 is an abundant number, since it is smaller than the sum of its proper divisors (100498632).

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

53788728 is a wasteful number, since it uses less digits than its factorization.

53788728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1272 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 53788728 is about 7334.0799013919. The cubic root of 53788728 is about 377.4827335933.

The spelling of 53788728 in words is "fifty-three million, seven hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 353 706 907 1059 1412 1814 2118 2471 2721 2824 3628 4236 4942 5442 6349 7256 7413 8472 9884 10884 12698 14826 19047 19768 21768 25396 29652 38094 50792 59304 76188 152376 320171 640342 960513 1280684 1921026 2241197 2561368 3842052 4482394 6723591 7684104 8964788 13447182 17929576 26894364 53788728