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63311472 = 24327107587
BaseRepresentation
bin1111000110000…
…0111001110000
311102010120000100
43301200321300
5112201431342
610140552400
71366065360
oct361407160
9142116010
1063311472
1132812934
1219252700
1310169313
1485a09a0
155858e4c
hex3c60e70

63311472 has 120 divisors (see below), whose sum is σ = 204736896. Its totient is φ = 17889408.

The previous prime is 63311471. The next prime is 63311509. The reversal of 63311472 is 27411336.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63311471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107563 + ... + 108149.

Almost surely, 263311472 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 63311472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

63311472 is an abundant number, since it is smaller than the sum of its proper divisors (141425424).

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

63311472 is a wasteful number, since it uses less digits than its factorization.

63311472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 63311472 is about 7956.8506332594. The cubic root of 63311472 is about 398.5603917023.

The spelling of 63311472 in words is "sixty-three million, three hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 107 112 126 144 168 214 252 321 336 428 504 587 642 749 856 963 1008 1174 1284 1498 1712 1761 1926 2247 2348 2568 2996 3522 3852 4109 4494 4696 5136 5283 5992 6741 7044 7704 8218 8988 9392 10566 11984 12327 13482 14088 15408 16436 17976 21132 24654 26964 28176 32872 35952 36981 42264 49308 53928 62809 65744 73962 84528 98616 107856 125618 147924 188427 197232 251236 295848 376854 439663 502472 565281 591696 753708 879326 1004944 1130562 1318989 1507416 1758652 2261124 2637978 3014832 3517304 3956967 4522248 5275956 7034608 7913934 9044496 10551912 15827868 21103824 31655736 63311472