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42702920 = 2351326317
BaseRepresentation
bin1010001011100…
…1100001001000
32222100112101122
42202321201020
541412443140
64123134412
71025653211
oct242714110
988315348
1042702920
1122117377
1212374408
138b01c00
145958408
153b37ab5
hex28b9848

42702920 has 48 divisors (see below), whose sum is σ = 104057460. Its totient is φ = 15764736.

The previous prime is 42702917. The next prime is 42702941. The reversal of 42702920 is 2920724.

It can be written as a sum of positive squares in 6 ways, for example, as 4831204 + 37871716 = 2198^2 + 6154^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42702920.

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, 3602 + ... + 9918.

Almost surely, 242702920 is an apocalyptic number.

42702920 is a gapful number since it is divisible by the number (40) 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 42702920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52028730).

42702920 is an abundant number, since it is smaller than the sum of its proper divisors (61354540).

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

42702920 is a wasteful number, since it uses less digits than its factorization.

42702920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 42702920 is about 6534.7471259414. The cubic root of 42702920 is about 349.5311272635.

The spelling of 42702920 in words is "forty-two million, seven hundred two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6317 6760 12634 25268 31585 50536 63170 82121 126340 164242 252680 328484 410605 656968 821210 1067573 1642420 2135146 3284840 4270292 5337865 8540584 10675730 21351460 42702920