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45720704 = 2729109113
BaseRepresentation
bin1010111001101…
…0010010000000
310012000212000102
42232122102000
543201030304
64311541532
71063422341
oct256322200
9105025012
1045720704
1123898707
121338a8a8
13961a693
1461020c8
154031d1e
hex2b9a480

45720704 has 64 divisors (see below), whose sum is σ = 95931000. Its totient is φ = 21676032.

The previous prime is 45720679. The next prime is 45720713. The reversal of 45720704 is 40702754.

It can be written as a sum of positive squares in 4 ways, for example, as 30913600 + 14807104 = 5560^2 + 3848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a pancake number, because a pancake can be divided into 45720704 parts by 9562 straight cuts.

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, 404552 + ... + 404664.

Almost surely, 245720704 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 45720704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47965500).

45720704 is an abundant number, since it is smaller than the sum of its proper divisors (50210296).

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

45720704 is a wasteful number, since it uses less digits than its factorization.

45720704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 45720704 is about 6761.7086597989. The cubic root of 45720704 is about 357.5781471297.

The spelling of 45720704 in words is "forty-five million, seven hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 109 113 116 128 218 226 232 436 452 464 872 904 928 1744 1808 1856 3161 3277 3488 3616 3712 6322 6554 6976 7232 12317 12644 13108 13952 14464 24634 25288 26216 49268 50576 52432 98536 101152 104864 197072 202304 209728 357193 394144 404608 419456 714386 788288 1428772 1576576 2857544 5715088 11430176 22860352 45720704