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42975240 = 23357114651
BaseRepresentation
bin1010001111110…
…0000000001000
32222212100221120
42203330000020
542000201430
64133035240
71031166150
oct243740010
988770846
1042975240
1122292a30
1212485b20
138b98b49
1459c9760
153b8d610
hex28fc008

42975240 has 128 divisors (see below), whose sum is σ = 160773120. Its totient is φ = 8928000.

The previous prime is 42975239. The next prime is 42975253. The reversal of 42975240 is 4257924.

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

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, 6915 + ... + 11565.

It is an arithmetic number, because the mean of its divisors is an integer number (1256040).

Almost surely, 242975240 is an apocalyptic number.

42975240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42975240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80386560).

42975240 is an abundant number, since it is smaller than the sum of its proper divisors (117797880).

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

42975240 is a wasteful number, since it uses less digits than its factorization.

42975240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 42975240 is about 6555.5503201486. The cubic root of 42975240 is about 350.2725496117.

The spelling of 42975240 in words is "forty-two million, nine hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 4651 9240 9302 13953 18604 23255 27906 32557 37208 46510 51161 55812 65114 69765 93020 97671 102322 111624 130228 139530 153483 162785 186040 195342 204644 255805 260456 279060 306966 325570 358127 390684 409288 488355 511610 558120 613932 651140 716254 767415 781368 976710 1023220 1074381 1227864 1302280 1432508 1534830 1790635 1953420 2046440 2148762 2865016 3069660 3581270 3906840 4297524 5371905 6139320 7162540 8595048 10743810 14325080 21487620 42975240