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42098472 = 233213411097
BaseRepresentation
bin1010000010010…
…1111100101000
32221012211020200
42200211330220
541234122342
64102152200
71020555033
oct240457450
987184220
1042098472
1121844229
1212122660
13894ca50
14583c01a
153a6894c
hex2825f28

42098472 has 96 divisors (see below), whose sum is σ = 125896680. Its totient is φ = 12625920.

The previous prime is 42098467. The next prime is 42098521. The reversal of 42098472 is 27489024.

It can be written as a sum of positive squares in 4 ways, for example, as 13003236 + 29095236 = 3606^2 + 5394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37828 + ... + 38924.

Almost surely, 242098472 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 42098472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62948340).

42098472 is an abundant number, since it is smaller than the sum of its proper divisors (83798208).

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

42098472 is a wasteful number, since it uses less digits than its factorization.

42098472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42098472 is about 6488.3335302680. Note that the first 3 decimals coincide. The cubic root of 42098472 is about 347.8741122147.

The spelling of 42098472 in words is "forty-two million, ninety-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1066 1097 1476 1599 2132 2194 2952 3198 3291 4264 4388 4797 6396 6582 8776 9594 9873 12792 13164 14261 19188 19746 26328 28522 38376 39492 42783 44977 57044 78984 85566 89954 114088 128349 134931 171132 179908 256698 269862 342264 359816 404793 513396 539724 584701 809586 1026792 1079448 1169402 1619172 1754103 2338804 3238344 3508206 4677608 5262309 7016412 10524618 14032824 21049236 42098472