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4056942996 = 223437675051
BaseRepresentation
bin1111000111010000…
…0000100110010100
3101110201212001120000
43301310000212110
531302034133441
61510322211300
7202351306101
oct36164004624
911421761500
104056942996
1117a2047357
129527b3b30
134c866b0b2
142a6b37aa8
1518b2722b6
hexf1d00994

4056942996 has 120 divisors (see below), whose sum is σ = 11057049696. Its totient is φ = 1295870400.

The previous prime is 4056942941. The next prime is 4056943001. The reversal of 4056942996 is 6992496504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 800671 + ... + 805721.

Almost surely, 24056942996 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 4056942996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528524848).

4056942996 is an abundant number, since it is smaller than the sum of its proper divisors (7000106700).

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

4056942996 is a wasteful number, since it uses less digits than its factorization.

4056942996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 4056942996 is about 63694.1362764266. The cubic root of 4056942996 is about 1594.8982021816.

It can be divided in two parts, 405 and 6942996, that added together give a triangular number (6943401 = T3726).

The spelling of 4056942996 in words is "four billion, fifty-six million, nine hundred forty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 67 74 81 108 111 134 148 162 201 222 268 324 333 402 444 603 666 804 999 1206 1332 1809 1998 2412 2479 2997 3618 3996 4958 5051 5427 5994 7236 7437 9916 10102 10854 11988 14874 15153 20204 21708 22311 29748 30306 44622 45459 60612 66933 89244 90918 133866 136377 181836 186887 200799 267732 272754 338417 373774 401598 409131 545508 560661 676834 747548 803196 818262 1015251 1121322 1353668 1636524 1681983 2030502 2242644 3045753 3363966 4061004 5045949 6091506 6727932 9137259 10091898 12183012 12521429 15137847 18274518 20183796 25042858 27411777 30275694 36549036 37564287 50085716 54823554 60551388 75128574 109647108 112692861 150257148 225385722 338078583 450771444 676157166 1014235749 1352314332 2028471498 4056942996