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63794052 = 223271491699
BaseRepresentation
bin1111001101011…
…0101110000100
311110001001222200
43303112232010
5112312402202
610155154500
71403145330
oct363265604
9143031880
1063794052
1133012463
1219445a30
13102a7b7a
1486887c0
155901e1c
hex3cd6b84

63794052 has 72 divisors (see below), whose sum is σ = 185640000. Its totient is φ = 18093888.

The previous prime is 63794051. The next prime is 63794053. The reversal of 63794052 is 25049736.

It is an interprime number because it is at equal distance from previous prime (63794051) and next prime (63794053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63793998 and 63794016.

It is not an unprimeable number, because it can be changed into a prime (63794051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36699 + ... + 38397.

Almost surely, 263794052 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 63794052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92820000).

63794052 is an abundant number, since it is smaller than the sum of its proper divisors (121845948).

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

63794052 is a wasteful number, since it uses less digits than its factorization.

63794052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 63794052 is about 7987.1178781836. The cubic root of 63794052 is about 399.5704806145.

The spelling of 63794052 in words is "sixty-three million, seven hundred ninety-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1699 1788 2086 2682 3129 3398 4172 5097 5364 6258 6796 9387 10194 11893 12516 15291 18774 20388 23786 30582 35679 37548 47572 61164 71358 107037 142716 214074 253151 428148 506302 759453 1012604 1518906 1772057 2278359 3037812 3544114 4556718 5316171 7088228 9113436 10632342 15948513 21264684 31897026 63794052