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45906240 = 263547819
BaseRepresentation
bin1010111100011…
…1100101000000
310012101021112010
42233013211000
543222444430
64315532520
71065124302
oct257074500
9105337463
1045906240
1123a05046
121345a140
139683c73
14614d972
15406bcb0
hex2bc7940

45906240 has 56 divisors (see below), whose sum is σ = 145755360. Its totient is φ = 12241408.

The previous prime is 45906197. The next prime is 45906247. The reversal of 45906240 is 4260954.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45906198 and 45906207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45906247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22950 + ... + 24869.

Almost surely, 245906240 is an apocalyptic number.

45906240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45906240 is an abundant number, since it is smaller than the sum of its proper divisors (99849120).

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

45906240 is a wasteful number, since it uses less digits than its factorization.

45906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47839 (or 47829 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 45906240 is about 6775.4143784716. The cubic root of 45906240 is about 358.0611819740.

The spelling of 45906240 in words is "forty-five million, nine hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 47819 95638 143457 191276 239095 286914 382552 478190 573828 717285 765104 956380 1147656 1434570 1530208 1912760 2295312 2869140 3060416 3825520 4590624 5738280 7651040 9181248 11476560 15302080 22953120 45906240