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5337863800 = 2352194134261
BaseRepresentation
bin1001111100010100…
…10101011001111000
3111210000010120120021
410332022111121320
541412443120200
62241400540224
7246164044063
oct47612253170
914700116507
105337863800
11229a0a3095
12104b781674
13670b55ab9
14388ccd8da
1521394441a
hex13e295678

5337863800 has 96 divisors (see below), whose sum is σ = 13382737200. Its totient is φ = 1973376000.

The previous prime is 5337863771. The next prime is 5337863809. The reversal of 5337863800 is 83687335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5337863809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138670 + ... + 172930.

Almost surely, 25337863800 is an apocalyptic number.

5337863800 is a gapful number since it is divisible by the number (50) 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 5337863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691368600).

5337863800 is an abundant number, since it is smaller than the sum of its proper divisors (8044873400).

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

5337863800 is a wasteful number, since it uses less digits than its factorization.

5337863800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34337 (or 34328 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 5337863800 is about 73060.6857345317. The cubic root of 5337863800 is about 1747.6555053548.

The spelling of 5337863800 in words is "five billion, three hundred thirty-seven million, eight hundred sixty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 41 50 76 82 95 100 152 164 190 200 205 328 380 410 475 760 779 820 950 1025 1558 1640 1900 2050 3116 3800 3895 4100 6232 7790 8200 15580 19475 31160 34261 38950 68522 77900 137044 155800 171305 274088 342610 650959 685220 856525 1301918 1370440 1404701 1713050 2603836 2809402 3254795 3426100 5207672 5618804 6509590 6852200 7023505 11237608 13019180 14047010 16273975 26038360 26689319 28094020 32547950 35117525 53378638 56188040 65095900 70235050 106757276 130191800 133446595 140470100 213514552 266893190 280940200 533786380 667232975 1067572760 1334465950 2668931900 5337863800