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2038582040 = 235114633141
BaseRepresentation
bin111100110000010…
…0100101100011000
312021001221200211112
41321200210230120
513133334111130
6534141515452
7101342442605
oct17140445430
95231850745
102038582040
119567a9950
1248a872b88
13266465681
14154a5d6ac
15bde84495
hex79824b18

2038582040 has 32 divisors (see below), whose sum is σ = 5003793360. Its totient is φ = 741302400.

The previous prime is 2038582031. The next prime is 2038582079. The reversal of 2038582040 is 402858302.

It is a junction number, because it is equal to n+sod(n) for n = 2038581988 and 2038582006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2316131 + ... + 2317010.

Almost surely, 22038582040 is an apocalyptic number.

2038582040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038582040 is an abundant number, since it is smaller than the sum of its proper divisors (2965211320).

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

2038582040 is a wasteful number, since it uses less digits than its factorization.

2038582040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633163 (or 4633159 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2038582040 is about 45150.6593528821. The cubic root of 2038582040 is about 1267.9712250533.

The spelling of 2038582040 in words is "two billion, thirty-eight million, five hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4633141 9266282 18532564 23165705 37065128 46331410 50964551 92662820 101929102 185325640 203858204 254822755 407716408 509645510 1019291020 2038582040