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63426672 = 2433413581
BaseRepresentation
bin1111000111110…
…1000001110000
311102100102001000
43301331001300
5112214123142
610143242000
71400055261
oct361750160
9142312030
1063426672
1132891441
12192a9300
13101a989a
1485d0968
15587d14c
hex3c7d070

63426672 has 80 divisors (see below), whose sum is σ = 186550560. Its totient is φ = 20620800.

The previous prime is 63426667. The next prime is 63426697. The reversal of 63426672 is 27662436.

It is a happy number.

63426672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15922 + ... + 19502.

It is an arithmetic number, because the mean of its divisors is an integer number (2331882).

Almost surely, 263426672 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 63426672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93275280).

63426672 is an abundant number, since it is smaller than the sum of its proper divisors (123123888).

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

63426672 is a wasteful number, since it uses less digits than its factorization.

63426672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3627 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 63426672 is about 7964.0863882808. The cubic root of 63426672 is about 398.8019821318.

The spelling of 63426672 in words is "sixty-three million, four hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 3581 4428 5904 7162 8856 10743 14324 17712 21486 28648 32229 42972 57296 64458 85944 96687 128916 146821 171888 193374 257832 293642 386748 440463 515664 587284 773496 880926 1174568 1321389 1546992 1761852 2349136 2642778 3523704 3964167 5285556 7047408 7928334 10571112 15856668 21142224 31713336 63426672