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942115104 = 25337155773
BaseRepresentation
bin111000001001111…
…000100100100000
32102122202101222000
4320021320210200
53412140140404
6233252444000
732226563160
oct7011704440
92378671860
10942115104
11443888027
12223619600
13120250b78
148d1a05a0
1557a9a339
hex38278920

942115104 has 96 divisors (see below), whose sum is σ = 3140403840. Its totient is φ = 269174016.

The previous prime is 942115103. The next prime is 942115157. The reversal of 942115104 is 401511249.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (942115103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71839 + ... + 83934.

It is an arithmetic number, because the mean of its divisors is an integer number (32712540).

Almost surely, 2942115104 is an apocalyptic number.

It is an amenable number.

942115104 is an abundant number, since it is smaller than the sum of its proper divisors (2198288736).

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

942115104 is a wasteful number, since it uses less digits than its factorization.

942115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155799 (or 155785 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 942115104 is about 30693.8935946549. The cubic root of 942115104 is about 980.3202840401.

The spelling of 942115104 in words is "nine hundred forty-two million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 155773 311546 467319 623092 934638 1090411 1246184 1401957 1869276 2180822 2492368 2803914 3271233 3738552 4205871 4361644 4984736 5607828 6542466 7477104 8411742 8723288 9813699 11215656 13084932 14954208 16823484 17446576 19627398 22431312 26169864 29441097 33646968 34893152 39254796 44862624 52339728 58882194 67293936 78509592 104679456 117764388 134587872 157019184 235528776 314038368 471057552 942115104