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4086356992 = 21059239283
BaseRepresentation
bin1111001110010000…
…1101110000000000
3101112210012102222021
43303210031300000
531332101410432
61513252451224
7203156314144
oct36344156000
911483172867
104086356992
111807707543
12960619b14
13501799423
142aa9d3224
1518db32697
hexf390dc00

4086356992 has 88 divisors (see below), whose sum is σ = 8371411200. Its totient is φ = 1993076736.

The previous prime is 4086356983. The next prime is 4086356993. The reversal of 4086356992 is 2996536804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086356993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14439283 + ... + 14439565.

Almost surely, 24086356992 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 4086356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185705600).

4086356992 is an abundant number, since it is smaller than the sum of its proper divisors (4285054208).

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

4086356992 is a wasteful number, since it uses less digits than its factorization.

4086356992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The square root of 4086356992 is about 63924.6196077849. The cubic root of 4086356992 is about 1598.7434133771.

The spelling of 4086356992 in words is "four billion, eighty-six million, three hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 239 256 283 472 478 512 566 944 956 1024 1132 1888 1912 2264 3776 3824 4528 7552 7648 9056 14101 15104 15296 16697 18112 28202 30208 30592 33394 36224 56404 60416 61184 66788 67637 72448 112808 122368 133576 135274 144896 225616 244736 267152 270548 289792 451232 534304 541096 902464 1068608 1082192 1804928 2137216 2164384 3609856 3990583 4274432 4328768 7219712 7981166 8548864 8657536 14439424 15962332 17097728 17315072 31924664 34630144 63849328 69260288 127698656 255397312 510794624 1021589248 2043178496 4086356992