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64883808 = 2533116827
BaseRepresentation
bin1111011110000…
…0110001100000
311112002102212000
43313200301200
5113102240213
610234404000
71415334423
oct367406140
9145072760
1064883808
1133697190
1219890600
1310599bb2
14888d9ba
155a69c73
hex3de0c60

64883808 has 96 divisors (see below), whose sum is σ = 206478720. Its totient is φ = 19658880.

The previous prime is 64883801. The next prime is 64883813. The reversal of 64883808 is 80838846.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×648838083 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64883801) 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, 6091 + ... + 12917.

It is an arithmetic number, because the mean of its divisors is an integer number (2150820).

Almost surely, 264883808 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 64883808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103239360).

64883808 is an abundant number, since it is smaller than the sum of its proper divisors (141594912).

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

64883808 is a wasteful number, since it uses less digits than its factorization.

64883808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 64883808 is about 8055.0486032053. The cubic root of 64883808 is about 401.8328554415.

It can be divided in two parts, 6488 and 3808, that added together give a triangular number (10296 = T143).

The spelling of 64883808 in words is "sixty-four million, eight hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 6827 9504 13654 20481 27308 40962 54616 61443 75097 81924 109232 122886 150194 163848 184329 218464 225291 245772 300388 327696 368658 450582 491544 600776 655392 675873 737316 901164 983088 1201552 1351746 1474632 1802328 1966176 2027619 2403104 2703492 2949264 3604656 4055238 5406984 5898528 7209312 8110476 10813968 16220952 21627936 32441904 64883808