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63331296 = 2537731291
BaseRepresentation
bin1111000110010…
…1101111100000
311102011120012120
43301211233200
5112203100141
610141224240
71366210230
oct361455740
9142146176
1063331296
1132826816
1219262080
1310175352
1485a7cc0
15585ec66
hex3c65be0

63331296 has 96 divisors (see below), whose sum is σ = 192745728. Its totient is φ = 17832960.

The previous prime is 63331291. The next prime is 63331339. The reversal of 63331296 is 69213336.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63331291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48411 + ... + 49701.

It is an arithmetic number, because the mean of its divisors is an integer number (2007768).

Almost surely, 263331296 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 63331296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96372864).

63331296 is an abundant number, since it is smaller than the sum of its proper divisors (129414432).

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

63331296 is a wasteful number, since it uses less digits than its factorization.

63331296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1376 counting only the distinct ones).

The product of its digits is 17496, while the sum is 33.

The square root of 63331296 is about 7958.0962547584. The cubic root of 63331296 is about 398.6019862529.

The spelling of 63331296 in words is "sixty-three million, three hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1291 1533 1752 2044 2336 2582 3066 3504 3873 4088 5164 6132 7008 7746 8176 9037 10328 12264 15492 16352 18074 20656 24528 27111 30984 36148 41312 49056 54222 61968 72296 94243 108444 123936 144592 188486 216888 282729 289184 376972 433776 565458 659701 753944 867552 1130916 1319402 1507888 1979103 2261832 2638804 3015776 3958206 4523664 5277608 7916412 9047328 10555216 15832824 21110432 31665648 63331296