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2037942852 = 22311311014931
BaseRepresentation
bin111100101111000…
…1000101001000100
312021000202020000220
41321132020221010
513133203132402
6534120104340
7101334141231
oct17136105104
95230666026
102037942852
119564026a0
1248a6050b0
132662a075a
14154934788
15bdda9dbc
hex79788a44

2037942852 has 96 divisors (see below), whose sum is σ = 5408944128. Its totient is φ = 591600000.

The previous prime is 2037942833. The next prime is 2037942877. The reversal of 2037942852 is 2582497302.

It is a super-2 number, since 2×20379428522 = 8306422136035787808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410827 + ... + 415757.

It is an arithmetic number, because the mean of its divisors is an integer number (56343168).

Almost surely, 22037942852 is an apocalyptic number.

2037942852 is a gapful number since it is divisible by the number (22) 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 2037942852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704472064).

2037942852 is an abundant number, since it is smaller than the sum of its proper divisors (3371001276).

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

2037942852 is a wasteful number, since it uses less digits than its factorization.

2037942852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2037942852 is about 45143.5804074068. The cubic root of 2037942852 is about 1267.8386890231.

The spelling of 2037942852 in words is "two billion, thirty-seven million, nine hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 101 124 132 186 202 303 341 372 404 606 682 1023 1111 1212 1364 2046 2222 3131 3333 4092 4444 4931 6262 6666 9393 9862 12524 13332 14793 18786 19724 29586 34441 37572 54241 59172 68882 103323 108482 137764 152861 162723 206646 216964 305722 325446 413292 458583 498031 611444 650892 917166 996062 1494093 1681471 1834332 1992124 2988186 3362942 5044413 5478341 5976372 6725884 10088826 10956682 15438961 16435023 20177652 21913364 30877922 32870046 46316883 61755844 65740092 92633766 169828571 185267532 339657142 509485713 679314284 1018971426 2037942852