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53316432 = 243213191499
BaseRepresentation
bin1100101101100…
…0101101010000
310201022202101200
43023120231100
5102122111212
65142431200
71215116331
oct313305520
9121282350
1053316432
1128106474
1215a32500
13b079ab0
14711c288
154a326dc
hex32d8b50

53316432 has 120 divisors (see below), whose sum is σ = 169260000. Its totient is φ = 15531264.

The previous prime is 53316407. The next prime is 53316469. The reversal of 53316432 is 23461335.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53316396 and 53316405.

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, 34819 + ... + 36317.

It is an arithmetic number, because the mean of its divisors is an integer number (1410500).

Almost surely, 253316432 is an apocalyptic number.

53316432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53316432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630000).

53316432 is an abundant number, since it is smaller than the sum of its proper divisors (115943568).

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

53316432 is a wasteful number, since it uses less digits than its factorization.

53316432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 53316432 is about 7301.8101865222. The cubic root of 53316432 is about 376.3746454425.

Adding to 53316432 its reverse (23461335), we get a palindrome (76777767).

The spelling of 53316432 in words is "fifty-three million, three hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1499 1872 1976 2223 2736 2964 2998 3952 4446 4497 5928 5996 8892 8994 11856 11992 13491 17784 17988 19487 23984 26982 28481 35568 35976 38974 53964 56962 58461 71952 77948 85443 107928 113924 116922 155896 170886 175383 215856 227848 233844 256329 311792 341772 350766 370253 455696 467688 512658 683544 701532 740506 935376 1025316 1110759 1367088 1403064 1481012 2050632 2221518 2806128 2962024 3332277 4101264 4443036 5924048 6664554 8886072 13329108 17772144 26658216 53316432