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93942144 = 273281547
BaseRepresentation
bin1011001100101…
…11000110000000
320112202202101200
411212113012000
5143022122034
613153301200
72220331542
oct546270600
9215682350
1093942144
114903413a
1227564800
131660238a
14c695692
1583a9a99
hex5997180

93942144 has 48 divisors (see below), whose sum is σ = 270331620. Its totient is φ = 31313664.

The previous prime is 93942127. The next prime is 93942151. The reversal of 93942144 is 44124939.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 93942099 and 93942108.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 39622 + ... + 41925.

Almost surely, 293942144 is an apocalyptic number.

It is an amenable number.

93942144 is an abundant number, since it is smaller than the sum of its proper divisors (176389476).

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

93942144 is a wasteful number, since it uses less digits than its factorization.

93942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81567 (or 81552 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 93942144 is about 9692.3755602019. The cubic root of 93942144 is about 454.5902909275.

The spelling of 93942144 in words is "ninety-three million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 81547 163094 244641 326188 489282 652376 733923 978564 1304752 1467846 1957128 2609504 2935692 3914256 5219008 5871384 7828512 10438016 11742768 15657024 23485536 31314048 46971072 93942144