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63364992 = 273315323
BaseRepresentation
bin1111000110110…
…1111110000000
311102020021102120
43301231332000
5112210134432
610142044240
71366410405
oct361557600
9142207376
1063364992
113284a069
1219279680
13101877a2
1485b62ac
155869c2c
hex3c6df80

63364992 has 64 divisors (see below), whose sum is σ = 173775360. Its totient is φ = 20436480.

The previous prime is 63364991. The next prime is 63364993. The reversal of 63364992 is 29946336.

It is an interprime number because it is at equal distance from previous prime (63364991) and next prime (63364993).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×633649922 = 8030244422320128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63364991) 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, 9243 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (2715240).

Almost surely, 263364992 is an apocalyptic number.

63364992 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86887680).

63364992 is an abundant number, since it is smaller than the sum of its proper divisors (110410368).

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

63364992 is a wasteful number, since it uses less digits than its factorization.

63364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5371 (or 5359 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The square root of 63364992 is about 7960.2130624751. The cubic root of 63364992 is about 398.6726670064.

The spelling of 63364992 in words is "sixty-three million, three hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5323 5952 10646 11904 15969 21292 31938 42584 63876 85168 127752 165013 170336 255504 330026 340672 495039 511008 660052 681344 990078 1022016 1320104 1980156 2044032 2640208 3960312 5280416 7920624 10560832 15841248 21121664 31682496 63364992