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42518740 = 225111571231
BaseRepresentation
bin1010001000110…
…0100011010100
32222000011202011
42202030203110
541341044430
64115154004
71024255225
oct242144324
988004664
1042518740
1122000a60
12122a5904
138a69124
14590b24c
153aed22a
hex288c8d4

42518740 has 48 divisors (see below), whose sum is σ = 98106624. Its totient is φ = 15350400.

The previous prime is 42518737. The next prime is 42518747. The reversal of 42518740 is 4781524.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42518747) 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, 33925 + ... + 35155.

It is an arithmetic number, because the mean of its divisors is an integer number (2043888).

Almost surely, 242518740 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 42518740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49053312).

42518740 is an abundant number, since it is smaller than the sum of its proper divisors (55587884).

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

42518740 is a wasteful number, since it uses less digits than its factorization.

42518740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 42518740 is about 6520.6395391863. The cubic root of 42518740 is about 349.0278875261.

The spelling of 42518740 in words is "forty-two million, five hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1231 1570 1727 2462 3140 3454 4924 6155 6908 8635 12310 13541 17270 24620 27082 34540 54164 67705 135410 193267 270820 386534 773068 966335 1932670 2125937 3865340 4251874 8503748 10629685 21259370 42518740