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42623240 = 23511731327
BaseRepresentation
bin1010001010011…
…0000100001000
32222012111002112
42202212010020
541402420430
64121321452
71025202002
oct242460410
988174075
1042623240
1122072520
1212336288
138aa486a
145937372
153b1e195
hex28a6108

42623240 has 64 divisors (see below), whose sum is σ = 106133760. Its totient is φ = 15275520.

The previous prime is 42623227. The next prime is 42623249. The reversal of 42623240 is 4232624.

It is not an unprimeable number, because it can be changed into a prime (42623249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31457 + ... + 32783.

It is an arithmetic number, because the mean of its divisors is an integer number (1658340).

Almost surely, 242623240 is an apocalyptic number.

42623240 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 42623240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53066880).

42623240 is an abundant number, since it is smaller than the sum of its proper divisors (63510520).

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

42623240 is a wasteful number, since it uses less digits than its factorization.

42623240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 42623240 is about 6528.6476394426. The cubic root of 42623240 is about 349.3135935016.

Adding to 42623240 its reverse (4232624), we get a palindrome (46855864).

The spelling of 42623240 in words is "forty-two million, six hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1327 1460 1606 2654 2920 3212 4015 5308 6424 6635 8030 10616 13270 14597 16060 26540 29194 32120 53080 58388 72985 96871 116776 145970 193742 291940 387484 484355 583880 774968 968710 1065581 1937420 2131162 3874840 4262324 5327905 8524648 10655810 21311620 42623240