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42459424 = 2573747109
BaseRepresentation
bin1010000111111…
…0000100100000
32221220011101021
42201332010200
541332200144
64114015224
71023620260
oct241760440
987804337
1042459424
1121a70437
1212277514
138a48127
1458d37a0
153ada884
hex287e120

42459424 has 96 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 17169408.

The previous prime is 42459407. The next prime is 42459457. The reversal of 42459424 is 42495424.

It is a self number, because there is not a number n which added to its sum of digits gives 42459424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389482 + ... + 389590.

It is an arithmetic number, because the mean of its divisors is an integer number (1053360).

Almost surely, 242459424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42459424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50561280).

42459424 is an abundant number, since it is smaller than the sum of its proper divisors (58663136).

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

42459424 is a wasteful number, since it uses less digits than its factorization.

42459424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 42459424 is about 6516.0896249208. The cubic root of 42459424 is about 348.8655075740.

The spelling of 42459424 in words is "forty-two million, four hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 47 56 74 94 109 112 148 188 218 224 259 296 329 376 436 518 592 658 752 763 872 1036 1184 1316 1504 1526 1739 1744 2072 2632 3052 3478 3488 4033 4144 5123 5264 6104 6956 8066 8288 10246 10528 12173 12208 13912 16132 20492 24346 24416 27824 28231 32264 35861 40984 48692 55648 56462 64528 71722 81968 97384 112924 129056 143444 163936 189551 194768 225848 286888 379102 389536 451696 573776 758204 903392 1147552 1326857 1516408 2653714 3032816 5307428 6065632 10614856 21229712 42459424