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45653352 = 23319531889
BaseRepresentation
bin1010111000100…
…1110101101000
310011220102121220
42232021311220
543141401402
64310302040
71063022103
oct256116550
9104812556
1045653352
1123852048
1213357920
1395c5b24
1460c573a
15401bdbc
hex2b89d68

45653352 has 64 divisors (see below), whose sum is σ = 122472000. Its totient is φ = 14137344.

The previous prime is 45653339. The next prime is 45653357. The reversal of 45653352 is 25335654.

45653352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45653357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23224 + ... + 25112.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 245653352 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 45653352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61236000).

45653352 is an abundant number, since it is smaller than the sum of its proper divisors (76818648).

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

45653352 is a wasteful number, since it uses less digits than its factorization.

45653352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1966 counting only the distinct ones).

The product of its digits is 54000, while the sum is 33.

The square root of 45653352 is about 6756.7264263103. The cubic root of 45653352 is about 357.4024758842.

The spelling of 45653352 in words is "forty-five million, six hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 212 228 318 424 456 636 1007 1272 1889 2014 3021 3778 4028 5667 6042 7556 8056 11334 12084 15112 22668 24168 35891 45336 71782 100117 107673 143564 200234 215346 287128 300351 400468 430692 600702 800936 861384 1201404 1902223 2402808 3804446 5706669 7608892 11413338 15217784 22826676 45653352