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63242336 = 2519414359
BaseRepresentation
bin1111000101000…
…0000001100000
311102000001011202
43301100001200
5112142223321
610135300332
71365356663
oct361200140
9142001152
1063242336
11327759a3
121921a6a8
1310143a01
1485836da
15584370b
hex3c50060

63242336 has 96 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 28062720.

The previous prime is 63242323. The next prime is 63242339. The reversal of 63242336 is 63324236.

It is a junction number, because it is equal to n+sod(n) for n = 63242299 and 63242308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63242339) 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, 1071875 + ... + 1071933.

It is an arithmetic number, because the mean of its divisors is an integer number (1455300).

Almost surely, 263242336 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 63242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

63242336 is an abundant number, since it is smaller than the sum of its proper divisors (76466464).

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

63242336 is a wasteful number, since it uses less digits than its factorization.

63242336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 15552, while the sum is 29.

The square root of 63242336 is about 7952.5050141449. The cubic root of 63242336 is about 398.4152631475.

The spelling of 63242336 in words is "sixty-three million, two hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 41 43 59 76 82 86 118 152 164 172 236 304 328 344 472 608 656 688 779 817 944 1121 1312 1376 1558 1634 1763 1888 2242 2419 2537 3116 3268 3526 4484 4838 5074 6232 6536 7052 8968 9676 10148 12464 13072 14104 17936 19352 20296 24928 26144 28208 33497 35872 38704 40592 45961 48203 56416 66994 77408 81184 91922 96406 104017 133988 183844 192812 208034 267976 367688 385624 416068 535952 735376 771248 832136 1071904 1470752 1542496 1664272 1976323 3328544 3952646 7905292 15810584 31621168 63242336