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4089098000 = 245313157273
BaseRepresentation
bin1111001110111010…
…1010111100010000
3101112222100200221002
43303232222330100
531333302114000
61513431321132
7203221521341
oct36356527420
911488320832
104089098000
111809209939
129615201a8
13502218c20
142ab1080c8
1518dec48d5
hexf3baaf10

4089098000 has 80 divisors (see below), whose sum is σ = 10648078896. Its totient is φ = 1509811200.

The previous prime is 4089097951. The next prime is 4089098011. The reversal of 4089098000 is 8909804.

It can be written as a sum of positive squares in 8 ways, for example, as 2562789376 + 1526308624 = 50624^2 + 39068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52637 + ... + 104636.

Almost surely, 24089098000 is an apocalyptic number.

4089098000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4089098000 is an abundant number, since it is smaller than the sum of its proper divisors (6558980896).

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

4089098000 is a wasteful number, since it uses less digits than its factorization.

4089098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157309 (or 157293 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 4089098000 is about 63946.0553904617. The cubic root of 4089098000 is about 1599.1007968240.

The spelling of 4089098000 in words is "four billion, eighty-nine million, ninety-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 157273 314546 629092 786365 1258184 1572730 2044549 2516368 3145460 3931825 4089098 6290920 7863650 8178196 10222745 12581840 15727300 16356392 19659125 20445490 31454600 32712784 39318250 40890980 51113725 62909200 78636500 81781960 102227450 157273000 163563920 204454900 255568625 314546000 408909800 511137250 817819600 1022274500 2044549000 4089098000