Search a number
-
+
63790056 = 233211239337
BaseRepresentation
bin1111001101010…
…1101111101000
311110000212111200
43303111233220
5112312240211
610155124200
71403130561
oct363255750
9143025450
1063790056
113300a460
1219443660
13102a60c5
148687168
155900b56
hex3cd5be8

63790056 has 96 divisors (see below), whose sum is σ = 189820800. Its totient is φ = 19192320.

The previous prime is 63790043. The next prime is 63790061. The reversal of 63790056 is 65009736.

63790056 = 3932 + 3942 + ... + 6312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63790056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189120 + ... + 189456.

It is an arithmetic number, because the mean of its divisors is an integer number (1977300).

Almost surely, 263790056 is an apocalyptic number.

63790056 is a gapful number since it is divisible by the number (66) 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 63790056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94910400).

63790056 is an abundant number, since it is smaller than the sum of its proper divisors (126030744).

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

63790056 is a wasteful number, since it uses less digits than its factorization.

63790056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 63790056 is about 7986.8677214538. The cubic root of 63790056 is about 399.5621375327.

The spelling of 63790056 in words is "sixty-three million, seven hundred ninety thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 239 264 337 396 478 674 717 792 956 1011 1348 1434 1912 2022 2151 2629 2696 2868 3033 3707 4044 4302 5258 5736 6066 7414 7887 8088 8604 10516 11121 12132 14828 15774 17208 21032 22242 23661 24264 29656 31548 33363 44484 47322 63096 66726 80543 88968 94644 133452 161086 189288 241629 266904 322172 483258 644344 724887 885973 966516 1449774 1771946 1933032 2657919 2899548 3543892 5315838 5799096 7087784 7973757 10631676 15947514 21263352 31895028 63790056