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45346728 = 2337475743
BaseRepresentation
bin1010110011111…
…0111110101000
310011022212000110
42230332332220
543102043403
64255534320
71060304130
oct254767650
9104285013
1045346728
1123662739
121322a3a0
1395193ab
146045ac0
153eab103
hex2b3efa8

45346728 has 64 divisors (see below), whose sum is σ = 132341760. Its totient is φ = 12678336.

The previous prime is 45346709. The next prime is 45346753. The reversal of 45346728 is 82764354.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5025 + ... + 10767.

It is an arithmetic number, because the mean of its divisors is an integer number (2067840).

Almost surely, 245346728 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 45346728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66170880).

45346728 is an abundant number, since it is smaller than the sum of its proper divisors (86995032).

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

45346728 is a wasteful number, since it uses less digits than its factorization.

45346728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806 (or 5802 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 45346728 is about 6733.9979209976. The cubic root of 45346728 is about 356.6005308221.

The spelling of 45346728 in words is "forty-five million, three hundred forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 5743 7896 11486 17229 22972 34458 40201 45944 68916 80402 120603 137832 160804 241206 269921 321608 482412 539842 809763 964824 1079684 1619526 1889447 2159368 3239052 3778894 5668341 6478104 7557788 11336682 15115576 22673364 45346728