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64821768 = 233111912923
BaseRepresentation
bin1111011101000…
…1101000001000
311111222021202020
43313101220020
5113043244033
610233204440
71414655514
oct367215010
9144867666
1064821768
1133654610
1219860720
131057789b
148875144
155a566b3
hex3dd1a08

64821768 has 64 divisors (see below), whose sum is σ = 186105600. Its totient is φ = 18607680.

The previous prime is 64821767. The next prime is 64821781. The reversal of 64821768 is 86712846.

It is not an unprimeable number, because it can be changed into a prime (64821767) 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, 1446 + ... + 11477.

It is an arithmetic number, because the mean of its divisors is an integer number (2907900).

Almost surely, 264821768 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 64821768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93052800).

64821768 is an abundant number, since it is smaller than the sum of its proper divisors (121283832).

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

64821768 is a wasteful number, since it uses less digits than its factorization.

64821768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12962 (or 12958 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 64821768 is about 8051.1966812394. The cubic root of 64821768 is about 401.7047409908.

The spelling of 64821768 in words is "sixty-four million, eight hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 12923 25846 38769 51692 77538 103384 142153 155076 245537 284306 310152 426459 491074 568612 736611 852918 982148 1137224 1473222 1705836 1964296 2700907 2946444 3411672 5401814 5892888 8102721 10803628 16205442 21607256 32410884 64821768