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42048882 = 2341132297
BaseRepresentation
bin1010000001100…
…1110101110010
32221010022020000
42200121311302
541231031012
64101130430
71020260331
oct240316562
987108200
1042048882
112180aa47
12120b9a16
1389332c5
145827d18
153a58ddc
hex2819d72

42048882 has 40 divisors (see below), whose sum is σ = 95095836. Its totient is φ = 13886208.

The previous prime is 42048859. The next prime is 42048893. The reversal of 42048882 is 28884024.

It can be written as a sum of positive squares in 2 ways, for example, as 37344321 + 4704561 = 6111^2 + 2169^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17158 + ... + 19454.

Almost surely, 242048882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42048882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47547918).

42048882 is an abundant number, since it is smaller than the sum of its proper divisors (53046954).

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

42048882 is a wasteful number, since it uses less digits than its factorization.

42048882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42048882 is about 6484.5109299006. The cubic root of 42048882 is about 347.7374654871.

The spelling of 42048882 in words is "forty-two million, forty-eight thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 2297 3051 4594 6102 6891 9153 13782 18306 20673 41346 62019 124038 186057 259561 372114 519122 778683 1557366 2336049 4672098 7008147 14016294 21024441 42048882