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45998628 = 22313714153
BaseRepresentation
bin1010111101111…
…0001000100100
310012112222020220
42233132020210
543233424003
64321524340
71065660534
oct257361044
9105488226
1045998628
1123a684a5
12134a36b0
1396b7030
1461754c4
154089353
hex2bde224

45998628 has 48 divisors (see below), whose sum is σ = 117242496. Its totient is φ = 13950720.

The previous prime is 45998621. The next prime is 45998629. The reversal of 45998628 is 82689954.

45998628 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 (45998621) 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, 9000 + ... + 13152.

It is an arithmetic number, because the mean of its divisors is an integer number (2442552).

Almost surely, 245998628 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 45998628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58621248).

45998628 is an abundant number, since it is smaller than the sum of its proper divisors (71243868).

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

45998628 is a wasteful number, since it uses less digits than its factorization.

45998628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4242 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 45998628 is about 6782.2288371891. The cubic root of 45998628 is about 358.3012247896.

The spelling of 45998628 in words is "forty-five million, nine hundred ninety-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 4153 5538 8306 11076 12459 16612 24918 49836 53989 107978 161967 215956 294863 323934 589726 647868 884589 1179452 1769178 3538356 3833219 7666438 11499657 15332876 22999314 45998628