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45328410 = 2345107523
BaseRepresentation
bin1010110011101…
…0100000011010
310011021220220000
42230322200122
543101002120
64255313430
71060166541
oct254724032
9104256800
1045328410
112364a9a6
121321b876
139510c5a
14603d158
153ea5990
hex2b3a81a

45328410 has 80 divisors (see below), whose sum is σ = 123257376. Its totient is φ = 11951712.

The previous prime is 45328399. The next prime is 45328447. The reversal of 45328410 is 1482354.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86409 + ... + 86931.

Almost surely, 245328410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45328410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61628688).

45328410 is an abundant number, since it is smaller than the sum of its proper divisors (77928966).

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

45328410 is a wasteful number, since it uses less digits than its factorization.

45328410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45328410 is about 6732.6376703340. The cubic root of 45328410 is about 356.5525075977.

It can be divided in two parts, 45 and 328410, that added together give a triangular number (328455 = T810).

The spelling of 45328410 in words is "forty-five million, three hundred twenty-eight thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 270 321 405 523 535 642 810 963 1046 1070 1569 1605 1926 2615 2889 3138 3210 4707 4815 5230 5778 7845 8667 9414 9630 14121 14445 15690 17334 23535 28242 28890 42363 43335 47070 55961 70605 84726 86670 111922 141210 167883 211815 279805 335766 423630 503649 559610 839415 1007298 1510947 1678830 2518245 3021894 4532841 5036490 7554735 9065682 15109470 22664205 45328410