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42483816 = 23321761569
BaseRepresentation
bin1010001000010…
…0000001101000
32221221101211200
42202010001220
541333440231
64114324200
71024051344
oct242040150
987841750
1042483816
1121a877a1
1212289660
138a5626b
1458dc624
153ae2be6
hex2884068

42483816 has 96 divisors (see below), whose sum is σ = 124043400. Its totient is φ = 13086720.

The previous prime is 42483761. The next prime is 42483841. The reversal of 42483816 is 61838424.

It can be written as a sum of positive squares in 4 ways, for example, as 23561316 + 18922500 = 4854^2 + 4350^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74380 + ... + 74948.

Almost surely, 242483816 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 42483816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62021700).

42483816 is an abundant number, since it is smaller than the sum of its proper divisors (81559584).

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

42483816 is a wasteful number, since it uses less digits than its factorization.

42483816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 42483816 is about 6517.9610308746. The cubic root of 42483816 is about 348.9322999581.

The spelling of 42483816 in words is "forty-two million, four hundred eighty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 408 488 549 569 612 732 1037 1098 1138 1224 1464 1707 2074 2196 2276 3111 3414 4148 4392 4552 5121 6222 6828 8296 9333 9673 10242 12444 13656 18666 19346 20484 24888 29019 34709 37332 38692 40968 58038 69418 74664 77384 87057 104127 116076 138836 174114 208254 232152 277672 312381 348228 416508 590053 624762 696456 833016 1180106 1249524 1770159 2360212 2499048 3540318 4720424 5310477 7080636 10620954 14161272 21241908 42483816