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427995840 = 2635445829
BaseRepresentation
bin11001100000101…
…011001011000000
31002211100102220210
4121200223023000
51334031331330
6110245234120
713414622166
oct3140531300
91084312823
10427995840
111aa657678
12bb402940
136a89429c
1440bb1236
15278938b0
hex1982b2c0

427995840 has 56 divisors (see below), whose sum is σ = 1358889840. Its totient is φ = 114131968.

The previous prime is 427995839. The next prime is 427995857. The reversal of 427995840 is 48599724.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 427995840.

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 7 ways as a sum of consecutive naturals, for example, 221955 + ... + 223874.

It is an arithmetic number, because the mean of its divisors is an integer number (24265890).

Almost surely, 2427995840 is an apocalyptic number.

427995840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427995840 is an abundant number, since it is smaller than the sum of its proper divisors (930894000).

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

427995840 is a wasteful number, since it uses less digits than its factorization.

427995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445849 (or 445839 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 427995840 is about 20688.0603247380. The cubic root of 427995840 is about 753.6097627217.

The spelling of 427995840 in words is "four hundred twenty-seven million, nine hundred ninety-five thousand, eight 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 445829 891658 1337487 1783316 2229145 2674974 3566632 4458290 5349948 6687435 7133264 8916580 10699896 13374870 14266528 17833160 21399792 26749740 28533056 35666320 42799584 53499480 71332640 85599168 106998960 142665280 213997920 427995840