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63257472 = 2732431277
BaseRepresentation
bin1111000101001…
…1101110000000
311102000210221100
43301103232000
5112143214342
610135454400
71365452055
oct361235600
9142023840
1063257472
1132786303
1219227400
131014a875
14858902c
155847e4c
hex3c53b80

63257472 has 96 divisors (see below), whose sum is σ = 186409080. Its totient is φ = 20579328.

The previous prime is 63257471. The next prime is 63257477. The reversal of 63257472 is 27475236.

It is a happy number.

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

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 (63257471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48898 + ... + 50174.

Almost surely, 263257472 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 63257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93204540).

63257472 is an abundant number, since it is smaller than the sum of its proper divisors (123151608).

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

63257472 is a wasteful number, since it uses less digits than its factorization.

63257472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 63257472 is about 7953.4566070357. The cubic root of 63257472 is about 398.4470452984.

The spelling of 63257472 in words is "sixty-three million, two hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1277 1376 1548 2064 2554 2752 3096 3831 4128 5108 5504 6192 7662 8256 10216 11493 12384 15324 16512 20432 22986 24768 30648 40864 45972 49536 54911 61296 81728 91944 109822 122592 163456 164733 183888 219644 245184 329466 367776 439288 490368 494199 658932 735552 878576 988398 1317864 1471104 1757152 1976796 2635728 3514304 3953592 5271456 7028608 7907184 10542912 15814368 21085824 31628736 63257472