Search a number
-
+
63907272 = 233311132069
BaseRepresentation
bin1111001111001…
…0010111001000
311110020211022000
43303302113020
5112330013042
610201431000
71404126402
oct363622710
9143224260
1063907272
113308a530
121949b460
1310317570
1486b7b72
15592574c
hex3cf25c8

63907272 has 128 divisors (see below), whose sum is σ = 208656000. Its totient is φ = 17867520.

The previous prime is 63907243. The next prime is 63907273. The reversal of 63907272 is 27270936.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63907273) 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, 29854 + ... + 31922.

It is an arithmetic number, because the mean of its divisors is an integer number (1630125).

Almost surely, 263907272 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 63907272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104328000).

63907272 is an abundant number, since it is smaller than the sum of its proper divisors (144748728).

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

63907272 is a wasteful number, since it uses less digits than its factorization.

63907272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 63907272 is about 7994.2023992391. The cubic root of 63907272 is about 399.8067232920.

The spelling of 63907272 in words is "sixty-three million, nine hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2069 2376 2574 2808 3432 3861 4138 5148 6207 7722 8276 10296 12414 15444 16552 18621 22759 24828 26897 30888 37242 45518 49656 53794 55863 68277 74484 80691 91036 107588 111726 136554 148968 161382 182072 204831 215176 223452 242073 273108 295867 322764 409662 446904 484146 546216 591734 614493 645528 726219 819324 887601 968292 1183468 1228986 1452438 1638648 1775202 1936584 2366936 2457972 2662803 2904876 3550404 4915944 5325606 5809752 7100808 7988409 10651212 15976818 21302424 31953636 63907272