Search a number
-
+
45785992 = 2372271431
BaseRepresentation
bin1010111010101…
…0001110001000
310012011011120111
42232222032020
543210122432
64313204104
71064113600
oct256521610
9105134514
1045785992
112393276a
1213400634
139641305
14611bc00
154046347
hex2baa388

45785992 has 48 divisors (see below), whose sum is σ = 100465920. Its totient is φ = 19504800.

The previous prime is 45785963. The next prime is 45786017. The reversal of 45785992 is 29958754.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106017 + ... + 106447.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 245785992 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 45785992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50232960).

45785992 is an abundant number, since it is smaller than the sum of its proper divisors (54679928).

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

45785992 is a wasteful number, since it uses less digits than its factorization.

45785992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The square root of 45785992 is about 6766.5347113571. The cubic root of 45785992 is about 357.7482703383.

The spelling of 45785992 in words is "forty-five million, seven hundred eighty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 271 392 431 542 862 1084 1724 1897 2168 3017 3448 3794 6034 7588 12068 13279 15176 21119 24136 26558 42238 53116 84476 106232 116801 168952 233602 467204 817607 934408 1635214 3270428 5723249 6540856 11446498 22892996 45785992