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45307328 = 2611139463
BaseRepresentation
bin1010110011010…
…1010111000000
310011020211222012
42230311113000
543044313303
64255032052
71060051223
oct254652700
9104224865
1045307328
1123636080
121320b628
139504491
1460355ba
153e9e5d8
hex2b355c0

45307328 has 56 divisors (see below), whose sum is σ = 98999040. Its totient is φ = 20401920.

The previous prime is 45307313. The next prime is 45307349. The reversal of 45307328 is 82370354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 45307294 and 45307303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97625 + ... + 98087.

It is an arithmetic number, because the mean of its divisors is an integer number (1767840).

Almost surely, 245307328 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 45307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49499520).

45307328 is an abundant number, since it is smaller than the sum of its proper divisors (53691712).

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

45307328 is a wasteful number, since it uses less digits than its factorization.

45307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 45307328 is about 6731.0718314396. The cubic root of 45307328 is about 356.4972221405.

The spelling of 45307328 in words is "forty-five million, three hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 139 176 278 352 463 556 704 926 1112 1529 1852 2224 3058 3704 4448 5093 6116 7408 8896 10186 12232 14816 20372 24464 29632 40744 48928 64357 81488 97856 128714 162976 257428 325952 514856 707927 1029712 1415854 2059424 2831708 4118848 5663416 11326832 22653664 45307328