Search a number
-
+
45646056 = 23321961547
BaseRepresentation
bin1010111000100…
…0000011101000
310011220001121200
42232020003220
543141133211
64310204200
71062661611
oct256100350
9104801550
1045646056
1123847615
1213353660
1395c2701
1460c2c08
154019b56
hex2b880e8

45646056 has 96 divisors (see below), whose sum is σ = 132506400. Its totient is φ = 14152320.

The previous prime is 45646021. The next prime is 45646057. The reversal of 45646056 is 65064654.

It is a happy number.

45646056 is a `hidden beast` number, since 4 + 5 + 646 + 0 + 5 + 6 = 666.

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 45646056.

It is not an unprimeable number, because it can be changed into a prime (45646057) 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, 83175 + ... + 83721.

It is an arithmetic number, because the mean of its divisors is an integer number (1380275).

Almost surely, 245646056 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 45646056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66253200).

45646056 is an abundant number, since it is smaller than the sum of its proper divisors (86860344).

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

45646056 is a wasteful number, since it uses less digits than its factorization.

45646056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45646056 is about 6756.1864983140. The cubic root of 45646056 is about 357.3834356804.

The spelling of 45646056 in words is "forty-five million, six hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 61 72 76 114 122 152 171 183 228 244 342 366 456 488 547 549 684 732 1094 1098 1159 1368 1464 1641 2188 2196 2318 3282 3477 4376 4392 4636 4923 6564 6954 9272 9846 10393 10431 13128 13908 19692 20786 20862 27816 31179 33367 39384 41572 41724 62358 66734 83144 83448 93537 100101 124716 133468 187074 200202 249432 266936 300303 374148 400404 600606 633973 748296 800808 1201212 1267946 1901919 2402424 2535892 3803838 5071784 5705757 7607676 11411514 15215352 22823028 45646056