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42453810 = 2325779853
BaseRepresentation
bin1010000111110…
…0101100110010
32221212212200100
42201330230302
541332010220
64113533230
71023565020
oct241745462
987785610
1042453810
1121a671a3
1212274216
138a456c9
1458d1710
153ad8d90
hex287cb32

42453810 has 96 divisors (see below), whose sum is σ = 127895040. Its totient is φ = 9569664.

The previous prime is 42453781. The next prime is 42453823. The reversal of 42453810 is 1835424.

42453810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424538102 = 3604651967032200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49344 + ... + 50196.

It is an arithmetic number, because the mean of its divisors is an integer number (1332240).

Almost surely, 242453810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42453810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63947520).

42453810 is an abundant number, since it is smaller than the sum of its proper divisors (85441230).

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

42453810 is a wasteful number, since it uses less digits than its factorization.

42453810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42453810 is about 6515.6588308474. The cubic root of 42453810 is about 348.8501311895.

The spelling of 42453810 in words is "forty-two million, four hundred fifty-three thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 79 90 105 126 158 210 237 315 395 474 553 630 711 790 853 1106 1185 1422 1659 1706 2370 2559 2765 3318 3555 4265 4977 5118 5530 5971 7110 7677 8295 8530 9954 11942 12795 15354 16590 17913 24885 25590 29855 35826 38385 49770 53739 59710 67387 76770 89565 107478 134774 179130 202161 268695 336935 404322 471709 537390 606483 673870 943418 1010805 1212966 1415127 2021610 2358545 2830254 3032415 4245381 4717090 6064830 7075635 8490762 14151270 21226905 42453810