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52655616 = 293313293
BaseRepresentation
bin1100100011011…
…1011000000000
310200002011221000
43020313120000
5101434434431
65120332000
71206364626
oct310673000
9120064830
1052655616
11277a4a42
1215774000
13aba8090
146dc9516
1549519e6
hex3237600

52655616 has 160 divisors (see below), whose sum is σ = 168426720. Its totient is φ = 16146432.

The previous prime is 52655591. The next prime is 52655621. The reversal of 52655616 is 61655625.

It is a happy number.

It is a super-2 number, since 2×526556162 = 5545227792678912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 179566 + ... + 179858.

It is an arithmetic number, because the mean of its divisors is an integer number (1052667).

Almost surely, 252655616 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 52655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84213360).

52655616 is an abundant number, since it is smaller than the sum of its proper divisors (115771104).

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

52655616 is a wasteful number, since it uses less digits than its factorization.

52655616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 52655616 is about 7256.4189515215. The cubic root of 52655616 is about 374.8132189831.

Subtracting 52655616 from its reverse (61655625), we obtain a palindrome (9000009).

The spelling of 52655616 in words is "fifty-two million, six hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 293 312 351 384 416 432 468 512 576 586 624 702 768 832 864 879 936 1152 1172 1248 1404 1536 1664 1728 1758 1872 2304 2344 2496 2637 2808 3328 3456 3516 3744 3809 4608 4688 4992 5274 5616 6656 6912 7032 7488 7618 7911 9376 9984 10548 11232 11427 13824 14064 14976 15236 15822 18752 19968 21096 22464 22854 28128 29952 30472 31644 34281 37504 42192 44928 45708 56256 59904 60944 63288 68562 75008 84384 89856 91416 102843 112512 121888 126576 137124 150016 168768 179712 182832 205686 225024 243776 253152 274248 337536 365664 411372 450048 487552 506304 548496 675072 731328 822744 975104 1012608 1096992 1350144 1462656 1645488 1950208 2025216 2193984 2925312 3290976 4050432 4387968 5850624 6581952 8775936 13163904 17551872 26327808 52655616