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63612672 = 283113733
BaseRepresentation
bin1111001010101…
…0011100000000
311102200212011220
43302222130000
5112241101142
610151235040
71401461454
oct362523400
9142625156
1063612672
11329a9162
1219378a80
1310243446
14863c664
1558b82ec
hex3caa700

63612672 has 72 divisors (see below), whose sum is σ = 171033744. Its totient is φ = 20987904.

The previous prime is 63612671. The next prime is 63612701. The reversal of 63612672 is 27621636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63612671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86418 + ... + 87150.

Almost surely, 263612672 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 63612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85516872).

63612672 is an abundant number, since it is smaller than the sum of its proper divisors (107421072).

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

63612672 is a wasteful number, since it uses less digits than its factorization.

63612672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 851 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 63612672 is about 7975.7552620426. The cubic root of 63612672 is about 399.1914333178.

The spelling of 63612672 in words is "sixty-three million, six hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 678 733 768 904 1356 1466 1808 2199 2712 2932 3616 4398 5424 5864 7232 8796 10848 11728 14464 17592 21696 23456 28928 35184 43392 46912 70368 82829 86784 93824 140736 165658 187648 248487 281472 331316 496974 562944 662632 993948 1325264 1987896 2650528 3975792 5301056 7951584 10602112 15903168 21204224 31806336 63612672