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42054376 = 2371361947
BaseRepresentation
bin1010000001101…
…1001011101000
32221010120202111
42200123023220
541231220001
64101212104
71020312340
oct240331350
987116674
1042054376
1121814091
1212101034
138935960
145829d20
153a5a851
hex281b2e8

42054376 has 64 divisors (see below), whose sum is σ = 98743680. Its totient is φ = 16346880.

The previous prime is 42054361. The next prime is 42054407. The reversal of 42054376 is 67345024.

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 15 ways as a sum of consecutive naturals, for example, 43935 + ... + 44881.

It is an arithmetic number, because the mean of its divisors is an integer number (1542870).

Almost surely, 242054376 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 42054376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49371840).

42054376 is an abundant number, since it is smaller than the sum of its proper divisors (56689304).

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

42054376 is a wasteful number, since it uses less digits than its factorization.

42054376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 42054376 is about 6484.9345409187. The cubic root of 42054376 is about 347.7526096586.

The spelling of 42054376 in words is "forty-two million, fifty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 182 244 364 427 488 728 793 854 947 1586 1708 1894 3172 3416 3788 5551 6344 6629 7576 11102 12311 13258 22204 24622 26516 44408 49244 53032 57767 86177 98488 115534 172354 231068 344708 404369 462136 689416 750971 808738 1501942 1617476 3003884 3234952 5256797 6007768 10513594 21027188 42054376