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42436920 = 2335353641
BaseRepresentation
bin1010000111100…
…0100100111000
32221212000111210
42201320210320
541330440140
64113323120
71023464541
oct241704470
987760453
1042436920
1121a55539
12122664a0
138a3ab06
1458c94c8
153ad3d80
hex2878938

42436920 has 32 divisors (see below), whose sum is σ = 127311120. Its totient is φ = 11316480.

The previous prime is 42436903. The next prime is 42436921. The reversal of 42436920 is 2963424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42436921) 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 7 ways as a sum of consecutive naturals, for example, 176701 + ... + 176940.

Almost surely, 242436920 is an apocalyptic number.

42436920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42436920 is an abundant number, since it is smaller than the sum of its proper divisors (84874200).

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

42436920 is a wasteful number, since it uses less digits than its factorization.

42436920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353655 (or 353651 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 42436920 is about 6514.3625935313. The cubic root of 42436920 is about 348.8038623916.

The spelling of 42436920 in words is "forty-two million, four hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353641 707282 1060923 1414564 1768205 2121846 2829128 3536410 4243692 5304615 7072820 8487384 10609230 14145640 21218460 42436920