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45464080 = 2454183167
BaseRepresentation
bin1010110101101…
…1101000010000
310011112210222211
42231123220100
543114322310
64302241504
71061303224
oct255335020
9104483884
1045464080
1123732922
1213286294
13955a92c
146076784
153ed0c8a
hex2b5ba10

45464080 has 80 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 17423360.

The previous prime is 45464063. The next prime is 45464099. The reversal of 45464080 is 8046454.

It is a tau number, because it is divible by the number of its divisors (80).

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, 272157 + ... + 272323.

Almost surely, 245464080 is an apocalyptic number.

45464080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

45464080 is an abundant number, since it is smaller than the sum of its proper divisors (64778864).

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

45464080 is a wasteful number, since it uses less digits than its factorization.

45464080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 45464080 is about 6742.7056883717. The cubic root of 45464080 is about 356.9078792616.

The spelling of 45464080 in words is "forty-five million, four hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 83 164 166 167 205 328 332 334 410 415 656 664 668 820 830 835 1328 1336 1640 1660 1670 2672 3280 3320 3340 3403 6640 6680 6806 6847 13360 13612 13694 13861 17015 27224 27388 27722 34030 34235 54448 54776 55444 68060 68470 69305 109552 110888 136120 136940 138610 221776 272240 273880 277220 547760 554440 568301 1108880 1136602 2273204 2841505 4546408 5683010 9092816 11366020 22732040 45464080