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42615540 = 223251121523
BaseRepresentation
bin1010001010010…
…0001011110100
32222012002112100
42202210023310
541402144130
64121222100
71025140362
oct242441364
988162470
1042615540
1122067760
1212331930
138aa11c6
145934632
153b1bc60
hex28a42f4

42615540 has 72 divisors (see below), whose sum is σ = 141025248. Its totient is φ = 10330560.

The previous prime is 42615509. The next prime is 42615557. The reversal of 42615540 is 4551624.

42615540 is a `hidden beast` number, since 4 + 2 + 615 + 5 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8782 + ... + 12741.

It is an arithmetic number, because the mean of its divisors is an integer number (1958684).

Almost surely, 242615540 is an apocalyptic number.

It is an amenable number.

42615540 is an abundant number, since it is smaller than the sum of its proper divisors (98409708).

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

42615540 is a wasteful number, since it uses less digits than its factorization.

42615540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21549 (or 21544 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42615540 is about 6528.0579041550. The cubic root of 42615540 is about 349.2925574294.

It can be divided in two parts, 4261 and 5540, that added together give a square (9801 = 992).

The spelling of 42615540 in words is "forty-two million, six hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 21523 43046 64569 86092 107615 129138 193707 215230 236753 258276 322845 387414 430460 473506 645690 710259 774828 947012 968535 1183765 1291380 1420518 1937070 2130777 2367530 2841036 3551295 3874140 4261554 4735060 7102590 8523108 10653885 14205180 21307770 42615540