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3880762812 = 223414980387
BaseRepresentation
bin1110011101001111…
…1011110110111100
3101000110100011210000
43213103323312330
530421433402222
61441030114300
7165111640203
oct34723736674
911013304700
103880762812
1117116535a3
129037ab990
1349b003a74
1428b59623a
1517aa709ac
hexe74fbdbc

3880762812 has 60 divisors (see below), whose sum is σ = 10213295400. Its totient is φ = 1284889824.

The previous prime is 3880762799. The next prime is 3880762813. The reversal of 3880762812 is 2182670883.

3880762812 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 7 + 628 + 12 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880762813) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8083 + ... + 88469.

It is an arithmetic number, because the mean of its divisors is an integer number (170221590).

Almost surely, 23880762812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880762812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106647700).

3880762812 is an abundant number, since it is smaller than the sum of its proper divisors (6332532588).

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

3880762812 is a wasteful number, since it uses less digits than its factorization.

3880762812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80552 (or 80541 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3880762812 is about 62295.7688129780. The cubic root of 3880762812 is about 1571.4685721876.

The spelling of 3880762812 in words is "three billion, eight hundred eighty million, seven hundred sixty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 4023 5364 8046 12069 16092 24138 48276 80387 160774 241161 321548 482322 723483 964644 1446966 2170449 2893932 4340898 6511347 8681796 11977663 13022694 23955326 26045388 35932989 47910652 71865978 107798967 143731956 215597934 323396901 431195868 646793802 970190703 1293587604 1940381406 3880762812