[go: up one dir, main page]

Search a number
-
+
56574128 = 24132983113
BaseRepresentation
bin1101011111010…
…0000010110000
310221110021010002
43113310002300
5103440333003
65340325132
71254605102
oct327640260
9127407102
1056574128
1129a30a86
1216b437a8
13b94a820
147729572
154e77a88
hex35f40b0

56574128 has 80 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 24686592.

The previous prime is 56574103. The next prime is 56574131. The reversal of 56574128 is 82147565.

Its product of digits (67200) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 56574091 and 56574100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500600 + ... + 500712.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 256574128 is an apocalyptic number.

56574128 is a gapful number since it is divisible by the number (58) 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 56574128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

56574128 is an abundant number, since it is smaller than the sum of its proper divisors (68105392).

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

56574128 is a wasteful number, since it uses less digits than its factorization.

56574128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 56574128 is about 7521.5774941165. The cubic root of 56574128 is about 383.8892548120.

The spelling of 56574128 in words is "fifty-six million, five hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 83 104 113 116 166 208 226 232 332 377 452 464 664 754 904 1079 1328 1469 1508 1808 2158 2407 2938 3016 3277 4316 4814 5876 6032 6554 8632 9379 9628 11752 13108 17264 18758 19256 23504 26216 31291 37516 38512 42601 52432 62582 75032 85202 121927 125164 150064 170404 243854 250328 271991 340808 487708 500656 543982 681616 975416 1087964 1950832 2175928 3535883 4351856 7071766 14143532 28287064 56574128