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45768704 = 21337151
BaseRepresentation
bin1010111010011…
…0000000000000
310012010021212012
42232212000000
543204044304
64312552052
71064012312
oct256460000
9105107765
1045768704
1123920783
12133b2628
139636497
1461157b2
15404116e
hex2ba6000

45768704 has 56 divisors (see below), whose sum is σ = 94628208. Its totient is φ = 22118400.

The previous prime is 45768703. The next prime is 45768721. The reversal of 45768704 is 40786754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45768703) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303029 + ... + 303179.

Almost surely, 245768704 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 45768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47314104).

45768704 is an abundant number, since it is smaller than the sum of its proper divisors (48859504).

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

45768704 is an equidigital number, since it uses as much as digits as its factorization.

45768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 45768704 is about 6765.2571274121. The cubic root of 45768704 is about 357.7032381468.

The spelling of 45768704 in words is "forty-five million, seven hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 151 256 296 302 512 592 604 1024 1184 1208 2048 2368 2416 4096 4736 4832 5587 8192 9472 9664 11174 18944 19328 22348 37888 38656 44696 75776 77312 89392 151552 154624 178784 303104 309248 357568 618496 715136 1236992 1430272 2860544 5721088 11442176 22884352 45768704