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42558054 = 23711251367
BaseRepresentation
bin1010001001011…
…0001001100110
32222002011200020
42202112021212
541343324204
64120100010
71024510650
oct242261146
988064606
1042558054
1122028550
1212304606
138a80ca6
14591b6d0
153b09bd9
hex2896266

42558054 has 64 divisors (see below), whose sum is σ = 106831872. Its totient is φ = 10980000.

The previous prime is 42558037. The next prime is 42558083. The reversal of 42558054 is 45085524.

It is a super-2 number, since 2×425580542 = 3622375920533832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 115779 + ... + 116145.

It is an arithmetic number, because the mean of its divisors is an integer number (1669248).

Almost surely, 242558054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42558054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53415936).

42558054 is an abundant number, since it is smaller than the sum of its proper divisors (64273818).

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

42558054 is a wasteful number, since it uses less digits than its factorization.

42558054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641.

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 42558054 is about 6523.6534242708. The cubic root of 42558054 is about 349.1354279925.

It can be divided in two parts, 42 and 558054, that added together give a triangular number (558096 = T1056).

The spelling of 42558054 in words is "forty-two million, five hundred fifty-eight thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 251 367 462 502 734 753 1101 1506 1757 2202 2569 2761 3514 4037 5138 5271 5522 7707 8074 8283 10542 12111 15414 16566 19327 24222 28259 38654 56518 57981 84777 92117 115962 169554 184234 276351 552702 644819 1013287 1289638 1934457 2026574 3039861 3868914 6079722 7093009 14186018 21279027 42558054