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42487488 = 2632174339
BaseRepresentation
bin1010001000010…
…0111011000000
32221221120212200
42202010323000
541334044423
64114353200
71024065141
oct242047300
987846780
1042487488
1121a8a52a
121228b800
138a57b34
1458ddac8
153ae3d43
hex2884ec0

42487488 has 84 divisors (see below), whose sum is σ = 128976120. Its totient is φ = 13326336.

The previous prime is 42487441. The next prime is 42487513. The reversal of 42487488 is 88478424.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7623 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430).

Almost surely, 242487488 is an apocalyptic number.

42487488 is a gapful number since it is divisible by the number (48) 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 42487488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64488060).

42487488 is an abundant number, since it is smaller than the sum of its proper divisors (86488632).

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

42487488 is a wasteful number, since it uses less digits than its factorization.

42487488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4361 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 42487488 is about 6518.2427079697. The cubic root of 42487488 is about 348.9423527470.

The spelling of 42487488 in words is "forty-two million, four hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4339 4896 8678 9792 13017 17356 26034 34712 39051 52068 69424 73763 78102 104136 138848 147526 156204 208272 221289 277696 295052 312408 416544 442578 590104 624816 663867 833088 885156 1180208 1249632 1327734 1770312 2360416 2499264 2655468 3540624 4720832 5310936 7081248 10621872 14162496 21243744 42487488