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442500058 = 271113832663
BaseRepresentation
bin11010011000000…
…000001111011010
31010211122022222001
4122120000033122
51401240000213
6111524151214
713652121430
oct3230001732
91124568861
10442500058
11207863930
1210423850a
13708a2070
1442aa8d50
1528cab1dd
hex1a6003da

442500058 has 64 divisors (see below), whose sum is σ = 902264832. Its totient is φ = 157164480.

The previous prime is 442500041. The next prime is 442500061. The reversal of 442500058 is 850005244.

It is a junction number, because it is equal to n+sod(n) for n = 442499999 and 442500035.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164835 + ... + 167497.

It is an arithmetic number, because the mean of its divisors is an integer number (14097888).

Almost surely, 2442500058 is an apocalyptic number.

442500058 is an abundant number, since it is smaller than the sum of its proper divisors (459764774).

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

442500058 is a wasteful number, since it uses less digits than its factorization.

442500058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779.

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 442500058 is about 21035.6853465724. The cubic root of 442500058 is about 762.0283180783.

It can be divided in two parts, 442 and 500058, that added together give a triangular number (500500 = T1000).

The spelling of 442500058 in words is "four hundred forty-two million, five hundred thousand, fifty-eight".

Divisors: 1 2 7 11 13 14 22 26 77 83 91 143 154 166 182 286 581 913 1001 1079 1162 1826 2002 2158 2663 5326 6391 7553 11869 12782 15106 18641 23738 29293 34619 37282 58586 69238 83083 166166 205051 221029 242333 380809 410102 442058 484666 761618 1547203 2431319 2665663 2873377 3094406 4862638 5331326 5746754 17019233 20113639 31607147 34038466 40227278 63214294 221250029 442500058