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45853904 = 2423532351
BaseRepresentation
bin1010111011101…
…0110011010000
310012021121201202
42232322303100
543214311104
64314450332
71064515565
oct256726320
9105247652
1045853904
1123979798
12134339a8
1396661b5
14613886c
15405b51e
hex2bbacd0

45853904 has 40 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 21507200.

The previous prime is 45853903. The next prime is 45853921. The reversal of 45853904 is 40935854.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45853903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18329 + ... + 20679.

Almost surely, 245853904 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 45853904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

45853904 is an abundant number, since it is smaller than the sum of its proper divisors (48640048).

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

45853904 is a wasteful number, since it uses less digits than its factorization.

45853904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 45853904 is about 6771.5510778551. The cubic root of 45853904 is about 357.9250594778.

The spelling of 45853904 in words is "forty-five million, eight hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1219 2351 2438 4702 4876 9404 9752 18808 19504 37616 54073 108146 124603 216292 249206 432584 498412 865168 996824 1993648 2865869 5731738 11463476 22926952 45853904