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4004120032 = 251161186481
BaseRepresentation
bin1110111010101010…
…0000010111100000
3101100001110101001221
43232222200113200
531200023320112
61501154104424
7201140313223
oct35652402740
911301411057
104004120032
111775248710
12938b7b114
134ba734ac3
1429db075ba
151867dae07
hexeeaa05e0

4004120032 has 48 divisors (see below), whose sum is σ = 8740784304. Its totient is φ = 1790208000.

The previous prime is 4004120011. The next prime is 4004120063. The reversal of 4004120032 is 2300214004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4004119988 and 4004120015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71769 + ... + 114712.

It is an arithmetic number, because the mean of its divisors is an integer number (182099673).

Almost surely, 24004120032 is an apocalyptic number.

It is an amenable number.

4004120032 is an abundant number, since it is smaller than the sum of its proper divisors (4736664272).

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

4004120032 is a wasteful number, since it uses less digits than its factorization.

4004120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186563 (or 186555 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4004120032 is about 63278.1165332850. The cubic root of 4004120032 is about 1587.9458768806.

Adding to 4004120032 its reverse (2300214004), we get a palindrome (6304334036).

The spelling of 4004120032 in words is "four billion, four million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 10736 21472 186481 372962 745924 1491848 2051291 2983696 4102582 5967392 8205164 11375341 16410328 22750682 32820656 45501364 65641312 91002728 125128751 182005456 250257502 364010912 500515004 1001030008 2002060016 4004120032