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4042086624 = 25341559447
BaseRepresentation
bin1111000011101101…
…0101100011100000
3101102200220021110000
43300323111203200
531234233232444
61505031540000
7202111112052
oct36073254340
911380807400
104042086624
11179471a564
1294982a600
134c5568c44
142a4b8b8d2
15189cda469
hexf0ed58e0

4042086624 has 60 divisors (see below), whose sum is σ = 11887672104. Its totient is φ = 1347361344.

The previous prime is 4042086611. The next prime is 4042086649. The reversal of 4042086624 is 4266802404.

It is a happy number.

4042086624 is a `hidden beast` number, since 4 + 0 + 4 + 20 + 8 + 6 + 624 = 666.

4042086624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 777132 + ... + 782315.

Almost surely, 24042086624 is an apocalyptic number.

It is an amenable number.

4042086624 is an abundant number, since it is smaller than the sum of its proper divisors (7845585480).

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

4042086624 is a wasteful number, since it uses less digits than its factorization.

4042086624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559469 (or 1559452 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4042086624 is about 63577.4065529572. The cubic root of 4042086624 is about 1592.9490019530.

The spelling of 4042086624 in words is "four billion, forty-two million, eighty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1559447 3118894 4678341 6237788 9356682 12475576 14035023 18713364 24951152 28070046 37426728 42105069 49902304 56140092 74853456 84210138 112280184 126315207 149706912 168420276 224560368 252630414 336840552 449120736 505260828 673681104 1010521656 1347362208 2021043312 4042086624