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3808492920 = 2332510939679
BaseRepresentation
bin1110001100000000…
…1111110101111000
3100211102100111010100
43203000033311320
530244433233140
61425525115400
7163243440621
oct34300176570
910742314110
103808492920
111684882111
128a3558b60
1348904c00b
14281b42a48
15174547530
hexe300fd78

3808492920 has 96 divisors (see below), whose sum is σ = 12390206400. Its totient is φ = 1014564096.

The previous prime is 3808492903. The next prime is 3808492937. The reversal of 3808492920 is 292948083.

3808492920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3808492903) and next prime (3808492937).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388641 + ... + 398319.

It is an arithmetic number, because the mean of its divisors is an integer number (129064650).

Almost surely, 23808492920 is an apocalyptic number.

3808492920 is a gapful number since it is divisible by the number (30) 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 3808492920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195103200).

3808492920 is an abundant number, since it is smaller than the sum of its proper divisors (8581713480).

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

3808492920 is a wasteful number, since it uses less digits than its factorization.

3808492920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10782 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3808492920 is about 61712.9882601710. The cubic root of 3808492920 is about 1561.6524403451.

The spelling of 3808492920 in words is "three billion, eight hundred eight million, four hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1093 2186 3279 4372 5465 6558 8744 9679 9837 10930 13116 16395 19358 19674 21860 26232 29037 32790 38716 39348 43720 48395 49185 58074 65580 77432 78696 87111 96790 98370 116148 131160 145185 174222 193580 196740 232296 290370 348444 387160 393480 435555 580740 696888 871110 1161480 1742220 3484440 10579147 21158294 31737441 42316588 52895735 63474882 84633176 95212323 105791470 126949764 158687205 190424646 211582940 253899528 317374410 380849292 423165880 476061615 634748820 761698584 952123230 1269497640 1904246460 3808492920