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51623264 = 2572114173
BaseRepresentation
bin1100010011101…
…1010101100000
310121010201210202
43010323111200
5101203421024
65042244332
71164535100
oct304732540
9117121722
1051623264
112715a360
12153566a8
13a906214
146bdb200
1547eabae
hex313b560

51623264 has 144 divisors (see below), whose sum is σ = 133929936. Its totient is φ = 19353600.

The previous prime is 51623227. The next prime is 51623279. The reversal of 51623264 is 46232615.

It is a super-2 number, since 2×516232642 = 5329922772027392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707132 + ... + 707204.

It is an arithmetic number, because the mean of its divisors is an integer number (930069).

Almost surely, 251623264 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 51623264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66964968).

51623264 is an abundant number, since it is smaller than the sum of its proper divisors (82306672).

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

51623264 is a wasteful number, since it uses less digits than its factorization.

51623264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 51623264 is about 7184.9331242538. The cubic root of 51623264 is about 372.3475381654.

Adding to 51623264 its reverse (46232615), we get a palindrome (97855879).

The spelling of 51623264 in words is "fifty-one million, six hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 49 56 73 77 82 88 98 112 146 154 164 176 196 224 287 292 308 328 352 392 451 511 539 574 584 616 656 784 803 902 1022 1078 1148 1168 1232 1312 1568 1606 1804 2009 2044 2156 2296 2336 2464 2993 3157 3212 3577 3608 4018 4088 4312 4592 5621 5986 6314 6424 7154 7216 8036 8176 8624 9184 11242 11972 12628 12848 14308 14432 16072 16352 17248 20951 22099 22484 23944 25256 25696 28616 32144 32923 39347 41902 44198 44968 47888 50512 57232 64288 65846 78694 83804 88396 89936 95776 101024 114464 131692 146657 157388 167608 176792 179872 230461 263384 293314 314776 335216 353584 460922 526768 586628 629552 670432 707168 921844 1053536 1173256 1259104 1613227 1843688 2346512 3226454 3687376 4693024 6452908 7374752 12905816 25811632 51623264