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42331590 = 23257229331
BaseRepresentation
bin1010000101111…
…0110111000110
32221122200000200
42201132313012
541314102330
64111151330
71022545500
oct241366706
987580020
1042331590
1121993394
1212215546
138a01ba2
14589cd70
153ab2a60
hex285edc6

42331590 has 144 divisors (see below), whose sum is σ = 132846480. Its totient is φ = 9313920.

The previous prime is 42331579. The next prime is 42331591. The reversal of 42331590 is 9513324.

42331590 is a `hidden beast` number, since 42 + 3 + 31 + 590 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331591) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127725 + ... + 128055.

It is an arithmetic number, because the mean of its divisors is an integer number (922545).

Almost surely, 242331590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42331590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66423240).

42331590 is an abundant number, since it is smaller than the sum of its proper divisors (90514890).

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

42331590 is a wasteful number, since it uses less digits than its factorization.

42331590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 42331590 is about 6506.2731267601. The cubic root of 42331590 is about 348.5150419567.

The spelling of 42331590 in words is "forty-two million, three hundred thirty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 49 58 63 70 87 90 98 105 126 145 147 174 203 210 245 261 290 294 315 331 406 435 441 490 522 609 630 662 735 870 882 993 1015 1218 1305 1421 1470 1655 1827 1986 2030 2205 2317 2610 2842 2979 3045 3310 3654 4263 4410 4634 4965 5958 6090 6951 7105 8526 9135 9599 9930 11585 12789 13902 14210 14895 16219 18270 19198 20853 21315 23170 25578 28797 29790 32438 34755 41706 42630 47995 48657 57594 63945 67193 69510 81095 86391 95990 97314 104265 127890 134386 143985 145971 162190 172782 201579 208530 243285 287970 291942 335965 403158 431955 470351 486570 604737 671930 729855 863910 940702 1007895 1209474 1411053 1459710 2015790 2351755 2822106 3023685 4233159 4703510 6047370 7055265 8466318 14110530 21165795 42331590