Search a number
-
+
5475875400 = 233452338017
BaseRepresentation
bin1010001100110001…
…10011101001001000
3112010121211021220000
411012120303221020
542203311003100
62303211003000
7252461113212
oct50630635110
915117737800
105475875400
11235aa97266
121089a39460
13693618078
1439d3775b2
15220b06900
hex146633a48

5475875400 has 120 divisors (see below), whose sum is σ = 19018582770. Its totient is φ = 1460229120.

The previous prime is 5475875399. The next prime is 5475875413. The reversal of 5475875400 is 45785745.

5475875400 is a `hidden beast` number, since 54 + 7 + 58 + 7 + 540 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5062891716 + 412983684 = 71154^2 + 20322^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×54758754002 = 59970422792650320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 152809 + ... + 185208.

Almost surely, 25475875400 is an apocalyptic number.

5475875400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5475875400 is an abundant number, since it is smaller than the sum of its proper divisors (13542707370).

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

5475875400 is a wasteful number, since it uses less digits than its factorization.

5475875400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338045 (or 338027 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 5475875400 is about 73999.1581033190. The cubic root of 5475875400 is about 1762.5895291778.

The spelling of 5475875400 in words is "five billion, four hundred seventy-five million, eight hundred seventy-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 338017 676034 1014051 1352068 1690085 2028102 2704136 3042153 3380170 4056204 5070255 6084306 6760340 8112408 8450425 9126459 10140510 12168612 13520680 15210765 16900850 18252918 20281020 24337224 25351275 27379377 30421530 33801700 36505836 40562040 45632295 50702550 54758754 60843060 67603400 73011672 76053825 91264590 101405100 109517508 121686120 136896885 152107650 182529180 202810200 219035016 228161475 273793770 304215300 365058360 456322950 547587540 608430600 684484425 912645900 1095175080 1368968850 1825291800 2737937700 5475875400