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53680752 = 2433313397
BaseRepresentation
bin1100110011000…
…1101001110000
310202000021011000
43030301221300
5102220241002
65154322000
71221164436
oct314615160
9122007130
1053680752
1128335164
1215b89300
13b176878
1471b4d56
154aa561c
hex3331a70

53680752 has 80 divisors (see below), whose sum is σ = 154965280. Its totient is φ = 17791488.

The previous prime is 53680751. The next prime is 53680789. The reversal of 53680752 is 25708635.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53680751) 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, 135018 + ... + 135414.

It is an arithmetic number, because the mean of its divisors is an integer number (1937066).

Almost surely, 253680752 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 53680752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77482640).

53680752 is an abundant number, since it is smaller than the sum of its proper divisors (101284528).

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

53680752 is a wasteful number, since it uses less digits than its factorization.

53680752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53680752 is about 7326.7149528285. The cubic root of 53680752 is about 377.2299769222.

The spelling of 53680752 in words is "fifty-three million, six hundred eighty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 313 397 432 626 794 939 1191 1252 1588 1878 2382 2504 2817 3176 3573 3756 4764 5008 5634 6352 7146 7512 8451 9528 10719 11268 14292 15024 16902 19056 21438 22536 28584 33804 42876 45072 57168 67608 85752 124261 135216 171504 248522 372783 497044 745566 994088 1118349 1491132 1988176 2236698 2982264 3355047 4473396 5964528 6710094 8946792 13420188 17893584 26840376 53680752