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42489972 = 223271031637
BaseRepresentation
bin1010001000010…
…1100001110100
32221221201021200
42202011201310
541334134342
64114412500
71024105320
oct242054164
987851250
1042489972
1121a91388
1212291130
138a58cc5
145900980
153ae494c
hex2885874

42489972 has 72 divisors (see below), whose sum is σ = 124016256. Its totient is φ = 12014784.

The previous prime is 42489943. The next prime is 42489983. The reversal of 42489972 is 27998424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25138 + ... + 26774.

It is an arithmetic number, because the mean of its divisors is an integer number (1722448).

Almost surely, 242489972 is an apocalyptic number.

42489972 is a gapful number since it is divisible by the number (42) 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 42489972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62008128).

42489972 is an abundant number, since it is smaller than the sum of its proper divisors (81526284).

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

42489972 is a wasteful number, since it uses less digits than its factorization.

42489972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1752 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 42489972 is about 6518.4332473379. The cubic root of 42489972 is about 348.9491528345.

The spelling of 42489972 in words is "forty-two million, four hundred eighty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1637 1854 2163 2884 3274 3708 4326 4911 6489 6548 8652 9822 11459 12978 14733 19644 22918 25956 29466 34377 45836 58932 68754 103131 137508 168611 206262 337222 412524 505833 674444 1011666 1180277 1517499 2023332 2360554 3034998 3540831 4721108 6069996 7081662 10622493 14163324 21244986 42489972