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53452928 = 271931709
BaseRepresentation
bin1100101111101…
…0000010000000
310201120200122002
43023322002000
5102140443203
65145403132
71216225304
oct313720200
9121520562
1053452928
1128199a81
1215a994a8
13b0c6c69
147155d04
154a5cd88
hex32fa080

53452928 has 64 divisors (see below), whose sum is σ = 115872000. Its totient is φ = 24468480.

The previous prime is 53452891. The next prime is 53452957. The reversal of 53452928 is 82925435.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 53452891 and 53452900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75038 + ... + 75746.

It is an arithmetic number, because the mean of its divisors is an integer number (1810500).

Almost surely, 253452928 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 53452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936000).

53452928 is an abundant number, since it is smaller than the sum of its proper divisors (62419072).

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

53452928 is a wasteful number, since it uses less digits than its factorization.

53452928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 761 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 53452928 is about 7311.1509353863. The cubic root of 53452928 is about 376.6955587344.

The spelling of 53452928 in words is "fifty-three million, four hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 304 496 589 608 709 992 1178 1216 1418 1984 2356 2432 2836 3968 4712 5672 9424 11344 13471 18848 21979 22688 26942 37696 43958 45376 53884 75392 87916 90752 107768 175832 215536 351664 417601 431072 703328 835202 862144 1406656 1670404 1724288 2813312 3340808 6681616 13363232 26726464 53452928