Search a number
-
+
56102772 = 22311479043
BaseRepresentation
bin1101011000000…
…0111101110100
310220120022112110
43112000331310
5103330242042
65322251020
71250602635
oct326007564
9126508473
1056102772
1129739930
1216956a70
13b81410b
14764588c
154dd309c
hex3580f74

56102772 has 48 divisors (see below), whose sum is σ = 145861632. Its totient is φ = 16637280.

The previous prime is 56102743. The next prime is 56102789. The reversal of 56102772 is 27720165.

56102772 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

56102772 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683 + ... + 10725.

It is an arithmetic number, because the mean of its divisors is an integer number (3038784).

Almost surely, 256102772 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 56102772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72930816).

56102772 is an abundant number, since it is smaller than the sum of its proper divisors (89758860).

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

56102772 is a wasteful number, since it uses less digits than its factorization.

56102772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9108 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 56102772 is about 7490.1783690377. The cubic root of 56102772 is about 382.8201361031.

The spelling of 56102772 in words is "fifty-six million, one hundred two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 9043 18086 27129 36172 54258 99473 108516 198946 298419 397892 425021 596838 850042 1193676 1275063 1700084 2550126 4675231 5100252 9350462 14025693 18700924 28051386 56102772