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53720928 = 253397641
BaseRepresentation
bin1100110011101…
…1011101100000
310202002022021000
43030323131200
5102223032203
65155232000
71221422532
oct314733540
9122068230
1053720928
1128362368
1215ba8600
13b18bc41
1471c5852
154ab24a3
hex333b760

53720928 has 96 divisors (see below), whose sum is σ = 158548320. Its totient is φ = 17694720.

The previous prime is 53720921. The next prime is 53720957. The reversal of 53720928 is 82902735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 53720892 and 53720901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53720921) 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, 83488 + ... + 84128.

It is an arithmetic number, because the mean of its divisors is an integer number (1651545).

Almost surely, 253720928 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 53720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79274160).

53720928 is an abundant number, since it is smaller than the sum of its proper divisors (104827392).

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

53720928 is a wasteful number, since it uses less digits than its factorization.

53720928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53720928 is about 7329.4561871942. The cubic root of 53720928 is about 377.3240628632.

The spelling of 53720928 in words is "fifty-three million, seven hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 388 432 582 641 776 864 873 1164 1282 1552 1746 1923 2328 2564 2619 3104 3492 3846 4656 5128 5238 5769 6984 7692 9312 10256 10476 11538 13968 15384 17307 20512 20952 23076 27936 30768 34614 41904 46152 61536 62177 69228 83808 92304 124354 138456 184608 186531 248708 276912 373062 497416 553824 559593 746124 994832 1119186 1492248 1678779 1989664 2238372 2984496 3357558 4476744 5968992 6715116 8953488 13430232 17906976 26860464 53720928