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425075640 = 233511437489
BaseRepresentation
bin11001010101100…
…010001110111000
31002121212002011020
4121111202032320
51332304410030
6110102502440
713351040403
oct3125421670
91077762136
10425075640
111a8a42690
12ba434a20
136a0b1062
1440650d3a
15274b8510
hex195623b8

425075640 has 128 divisors (see below), whose sum is σ = 1423699200. Its totient is φ = 100638720.

The previous prime is 425075593. The next prime is 425075663. The reversal of 425075640 is 46570524.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53016 + ... + 60504.

It is an arithmetic number, because the mean of its divisors is an integer number (11122650).

Almost surely, 2425075640 is an apocalyptic number.

425075640 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 425075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711849600).

425075640 is an abundant number, since it is smaller than the sum of its proper divisors (998623560).

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

425075640 is a wasteful number, since it uses less digits than its factorization.

425075640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7557 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 425075640 is about 20617.3625859371. The cubic root of 425075640 is about 751.8918991661.

The spelling of 425075640 in words is "four hundred twenty-five million, seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 7489 9460 11352 14190 14978 18920 22467 28380 29956 37445 44934 56760 59912 74890 82379 89868 112335 149780 164758 179736 224670 247137 299560 322027 329516 411895 449340 494274 644054 659032 823790 898680 966081 988548 1235685 1288108 1610135 1647580 1932162 1977096 2471370 2576216 3220270 3295160 3542297 3864324 4830405 4942740 6440540 7084594 7728648 9660810 9885480 10626891 12881080 14169188 17711485 19321620 21253782 28338376 35422970 38643240 42507564 53134455 70845940 85015128 106268910 141691880 212537820 425075640