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5785003400 = 2352112629547
BaseRepresentation
bin1010110001101000…
…00010010110001000
3112221011111121210012
411120310002112020
543321430102100
62354012411052
7263233501061
oct53064022610
915834447705
105785003400
1124a9535750
121155476a88
13712690847
143cc445568
1523cd1a135
hex158d02588

5785003400 has 48 divisors (see below), whose sum is σ = 14672877840. Its totient is φ = 2103636800.

The previous prime is 5785003379. The next prime is 5785003417. The reversal of 5785003400 is 43005875.

It is a happy number.

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, 1312574 + ... + 1316973.

It is an arithmetic number, because the mean of its divisors is an integer number (305684955).

Almost surely, 25785003400 is an apocalyptic number.

5785003400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5785003400 is an abundant number, since it is smaller than the sum of its proper divisors (8887874440).

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

5785003400 is a wasteful number, since it uses less digits than its factorization.

5785003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629574 (or 2629565 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 5785003400 is about 76059.2098302369. The cubic root of 5785003400 is about 1795.1519128213.

The spelling of 5785003400 in words is "five billion, seven hundred eighty-five million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2629547 5259094 10518188 13147735 21036376 26295470 28925017 52590940 57850034 65738675 105181880 115700068 131477350 144625085 231400136 262954700 289250170 525909400 578500340 723125425 1157000680 1446250850 2892501700 5785003400