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63996736 = 2629341
BaseRepresentation
bin1111010000100…
…0001101000000
311110102101000111
43310020031000
5112340343421
610203401104
71404651256
oct364101500
9143371014
1063996736
1133140771
1219523194
13103491bb
1486dc5d6
155941ee1
hex3d08340

63996736 has 56 divisors (see below), whose sum is σ = 134736840. Its totient is φ = 30141440.

The previous prime is 63996733. The next prime is 63996743. The reversal of 63996736 is 63769936.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 60217600 = 1944^2 + 7760^2 .

Its product of digits (1102248) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 63996736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63996733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1560876 + ... + 1560916.

It is an arithmetic number, because the mean of its divisors is an integer number (2406015).

Almost surely, 263996736 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 63996736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67368420).

63996736 is an abundant number, since it is smaller than the sum of its proper divisors (70740104).

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

63996736 is an frugal number, since it uses more digits than its factorization.

63996736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 72 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 49.

The square root of 63996736 is about 7999.7959973989. The cubic root of 63996736 is about 399.9931998844.

The spelling of 63996736 in words is "sixty-three million, nine hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 164 232 328 464 656 841 928 1189 1312 1682 1856 2378 2624 3364 4756 6728 9512 13456 19024 24389 26912 34481 38048 48778 53824 68962 76096 97556 137924 195112 275848 390224 551696 780448 999949 1103392 1560896 1999898 2206784 3999796 7999592 15999184 31998368 63996736