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424975040 = 2657227103
BaseRepresentation
bin11001010101001…
…001101011000000
31002121122222011022
4121111021223000
51332243200130
6110100405012
713350141200
oct3125115300
91077588138
10424975040
111a8984046
12ba3a6768
136a077329
1440626400
15274987e5
hex19549ac0

424975040 has 84 divisors (see below), whose sum is σ = 1177235136. Its totient is φ = 145700352.

The previous prime is 424975039. The next prime is 424975073. The reversal of 424975040 is 40579424.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2129 + ... + 29231.

It is an arithmetic number, because the mean of its divisors is an integer number (14014704).

Almost surely, 2424975040 is an apocalyptic number.

424975040 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 424975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588617568).

424975040 is an abundant number, since it is smaller than the sum of its proper divisors (752260096).

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

424975040 is a wasteful number, since it uses less digits than its factorization.

424975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27134 (or 27117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 424975040 is about 20614.9227502797. The cubic root of 424975040 is about 751.8325792978.

The spelling of 424975040 in words is "four hundred twenty-four million, nine hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 27103 54206 108412 135515 189721 216824 271030 379442 433648 542060 758884 867296 948605 1084120 1328047 1517768 1734592 1897210 2168240 2656094 3035536 3794420 4336480 5312188 6071072 6640235 7588840 8672960 10624376 12142144 13280470 15177680 21248752 26560940 30355360 42497504 53121880 60710720 84995008 106243760 212487520 424975040