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45459480 = 23351134439
BaseRepresentation
bin1010110101101…
…0100000011000
310011112120200110
42231122200120
543114200410
64302204320
71061253633
oct255324030
9104476613
1045459480
112372a420
12132836a0
139558801
146074c1a
153ece720
hex2b5a818

45459480 has 64 divisors (see below), whose sum is σ = 148780800. Its totient is φ = 11020160.

The previous prime is 45459461. The next prime is 45459499. The reversal of 45459480 is 8495454.

It is an interprime number because it is at equal distance from previous prime (45459461) and next prime (45459499).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15900 + ... + 18539.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 245459480 is an apocalyptic number.

45459480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45459480 is an abundant number, since it is smaller than the sum of its proper divisors (103321320).

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

45459480 is a wasteful number, since it uses less digits than its factorization.

45459480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34464 (or 34460 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 45459480 is about 6742.3645703863. The cubic root of 45459480 is about 356.8958416880.

The spelling of 45459480 in words is "forty-five million, four hundred fifty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 34439 68878 103317 137756 172195 206634 275512 344390 378829 413268 516585 688780 757658 826536 1033170 1136487 1377560 1515316 1894145 2066340 2272974 3030632 3788290 4132680 4545948 5682435 7576580 9091896 11364870 15153160 22729740 45459480