[go: up one dir, main page]

Search a number
-
+
45475056 = 243211191511
BaseRepresentation
bin1010110101111…
…0010011110000
310011120101001100
42231132103300
543120200211
64302404400
71061350224
oct255362360
9104511040
1045475056
11237400a0
1213290700
139562923
14607a784
153ed4156
hex2b5e4f0

45475056 has 120 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 13046400.

The previous prime is 45475043. The next prime is 45475057. The reversal of 45475056 is 65057454.

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 45475056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45475057) 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, 29341 + ... + 30851.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 245475056 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 45475056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

45475056 is an abundant number, since it is smaller than the sum of its proper divisors (100765584).

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

45475056 is a wasteful number, since it uses less digits than its factorization.

45475056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 45475056 is about 6743.5195558403. The cubic root of 45475056 is about 356.9365986790.

The spelling of 45475056 in words is "forty-five million, four hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1511 1584 1672 1881 2508 2736 3022 3344 3762 4533 5016 6044 7524 9066 10032 12088 13599 15048 16621 18132 24176 27198 28709 30096 33242 36264 49863 54396 57418 66484 72528 86127 99726 108792 114836 132968 149589 172254 199452 217584 229672 258381 265936 299178 315799 344508 398904 459344 516762 598356 631598 689016 797808 947397 1033524 1196712 1263196 1378032 1894794 2067048 2393424 2526392 2842191 3789588 4134096 5052784 5684382 7579176 11368764 15158352 22737528 45475056