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53018928 = 24333137107
BaseRepresentation
bin1100101001000…
…0000100110000
310200202122022000
43022100010300
5102033101203
65132214000
71212440064
oct312200460
9120678260
1053018928
1127a229a6
121590a300
13aca4561
147081aa4
1549c44a3
hex3290130

53018928 has 160 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 16485120.

The previous prime is 53018923. The next prime is 53018929. The reversal of 53018928 is 82981035.

It is a super-2 number, since 2×530189282 = 5622013452538368, which contains 22 as substring.

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 = 53018892 and 53018901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53018923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495451 + ... + 495557.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 253018928 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 53018928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

53018928 is an abundant number, since it is smaller than the sum of its proper divisors (109827792).

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

53018928 is a wasteful number, since it uses less digits than its factorization.

53018928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 53018928 is about 7281.4097536123. The cubic root of 53018928 is about 375.6732864375.

The spelling of 53018928 in words is "fifty-three million, eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 37 48 54 62 72 74 93 107 108 111 124 144 148 186 214 216 222 248 279 296 321 333 372 428 432 444 496 558 592 642 666 744 837 856 888 963 999 1116 1147 1284 1332 1488 1674 1712 1776 1926 1998 2232 2294 2568 2664 2889 3317 3348 3441 3852 3959 3996 4464 4588 5136 5328 5778 6634 6696 6882 7704 7918 7992 9176 9951 10323 11556 11877 13268 13392 13764 15408 15836 15984 18352 19902 20646 23112 23754 26536 27528 29853 30969 31672 35631 39804 41292 46224 47508 53072 55056 59706 61938 63344 71262 79608 82584 89559 95016 106893 119412 122729 123876 142524 159216 165168 179118 190032 213786 238824 245458 247752 285048 358236 368187 427572 477648 490916 495504 570096 716472 736374 855144 981832 1104561 1432944 1472748 1710288 1963664 2209122 2945496 3313683 4418244 5890992 6627366 8836488 13254732 17672976 26509464 53018928