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5405889900 = 2235243941047
BaseRepresentation
bin1010000100011011…
…10101010101101100
3111221202010122211110
411002031311111230
542032401434100
62252230552020
7250651206645
oct50215652554
914852118743
105405889900
112324536104
12106a508610
13681c83028
14393d5a6cc
152198d0250
hex14237556c

5405889900 has 72 divisors (see below), whose sum is σ = 15677052160. Its totient is φ = 1438251840.

The previous prime is 5405889877. The next prime is 5405889901. The reversal of 5405889900 is 99885045.

It is a happy number.

It is a super-2 number, since 2×54058899002 = 58447291221844020000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5405889900.

It is not an unprimeable number, because it can be changed into a prime (5405889901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111177 + ... + 152223.

Almost surely, 25405889900 is an apocalyptic number.

5405889900 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 5405889900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838526080).

5405889900 is an abundant number, since it is smaller than the sum of its proper divisors (10271162260).

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

5405889900 is a wasteful number, since it uses less digits than its factorization.

5405889900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41503 (or 41496 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 5405889900 is about 73524.7570550219. The cubic root of 5405889900 is about 1755.0482693845.

The spelling of 5405889900 in words is "five billion, four hundred five million, eight hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 439 878 1317 1756 2195 2634 4390 5268 6585 8780 10975 13170 21950 26340 32925 41047 43900 65850 82094 123141 131700 164188 205235 246282 410470 492564 615705 820940 1026175 1231410 2052350 2462820 3078525 4104700 6157050 12314100 18019633 36039266 54058899 72078532 90098165 108117798 180196330 216235596 270294495 360392660 450490825 540588990 900981650 1081177980 1351472475 1801963300 2702944950 5405889900