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942021864 = 2332721371949
BaseRepresentation
bin111000001001100…
…001110011101000
32102122120200001200
4320021201303220
53412124144424
6233250444200
732226024300
oct7011416350
92378520050
10942021864
11443823a73
12223593660
1312021a5b4
148d178600
1557a7c8c9
hex38261ce8

942021864 has 144 divisors (see below), whose sum is σ = 2991046500. Its totient is φ = 267047424.

The previous prime is 942021853. The next prime is 942021911. The reversal of 942021864 is 468120249.

It can be written as a sum of positive squares in 2 ways, for example, as 901800900 + 40220964 = 30030^2 + 6342^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 482362 + ... + 484310.

Almost surely, 2942021864 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 942021864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495523250).

942021864 is an abundant number, since it is smaller than the sum of its proper divisors (2049024636).

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

942021864 is a wasteful number, since it uses less digits than its factorization.

942021864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 942021864 is about 30692.3746881860. The cubic root of 942021864 is about 980.2879425996.

The spelling of 942021864 in words is "nine hundred forty-two million, twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 137 147 168 196 252 274 294 392 411 441 504 548 588 822 882 959 1096 1176 1233 1644 1764 1918 1949 2466 2877 3288 3528 3836 3898 4932 5754 5847 6713 7672 7796 8631 9864 11508 11694 13426 13643 15592 17262 17541 20139 23016 23388 26852 27286 34524 35082 40278 40929 46776 53704 54572 60417 69048 70164 80556 81858 95501 109144 120834 122787 140328 161112 163716 191002 241668 245574 267013 286503 327432 382004 483336 491148 534026 573006 764008 801039 859509 982296 1068052 1146012 1602078 1719018 1869091 2136104 2292024 2403117 3204156 3438036 3738182 4806234 5607273 6408312 6876072 7476364 9612468 11214546 13083637 14952728 16821819 19224936 22429092 26167274 33643638 39250911 44858184 52334548 67287276 78501822 104669096 117752733 134574552 157003644 235505466 314007288 471010932 942021864