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53020416 = 2831731131
BaseRepresentation
bin1100101001000…
…0011100000000
310200202201100010
43022100130000
5102033123131
65132224520
71212444321
oct312203400
9120681303
1053020416
1127a24029
121590b140
13aca5137
147082448
1549c4b46
hex3290700

53020416 has 144 divisors (see below), whose sum is σ = 155409408. Its totient is φ = 15974400.

The previous prime is 53020403. The next prime is 53020423. The reversal of 53020416 is 61402035.

It is a happy number.

It is a super-2 number, since 2×530204162 = 5622329025626112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53020392 and 53020401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404671 + ... + 404801.

It is an arithmetic number, because the mean of its divisors is an integer number (1079232).

Almost surely, 253020416 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 53020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77704704).

53020416 is an abundant number, since it is smaller than the sum of its proper divisors (102388992).

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

53020416 is a wasteful number, since it uses less digits than its factorization.

53020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 53020416 is about 7281.5119309111. The cubic root of 53020416 is about 375.6768008844.

The spelling of 53020416 in words is "fifty-three million, twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 131 136 186 192 204 248 256 262 272 372 384 393 408 496 524 527 544 744 768 786 816 992 1048 1054 1088 1488 1572 1581 1632 1984 2096 2108 2176 2227 2976 3144 3162 3264 3968 4061 4192 4216 4352 4454 5952 6288 6324 6528 6681 7936 8122 8384 8432 8908 11904 12183 12576 12648 13056 13362 16244 16768 16864 17816 23808 24366 25152 25296 26724 32488 33536 33728 35632 48732 50304 50592 53448 64976 67456 69037 71264 97464 100608 101184 106896 129952 134912 138074 142528 194928 202368 207111 213792 259904 276148 285056 389856 404736 414222 427584 519808 552296 570112 779712 828444 855168 1039616 1104592 1559424 1656888 1710336 2209184 3118848 3313776 4418368 6627552 8836736 13255104 17673472 26510208 53020416