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42611268 = 2237736949
BaseRepresentation
bin1010001010001…
…1001001000100
32222011212200010
42202203021010
541402030033
64121150220
71025122050
oct242431104
988155603
1042611268
1122064527
121232b370
138a9c28b
145932c60
153b1a863
hex28a3244

42611268 has 48 divisors (see below), whose sum is σ = 115203200. Its totient is φ = 12006144.

The previous prime is 42611251. The next prime is 42611321. The reversal of 42611268 is 86211624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2658 + ... + 9606.

Almost surely, 242611268 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 42611268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57601600).

42611268 is an abundant number, since it is smaller than the sum of its proper divisors (72591932).

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

42611268 is a wasteful number, since it uses less digits than its factorization.

42611268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7034 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 42611268 is about 6527.7306929744. The cubic root of 42611268 is about 349.2808854144.

The spelling of 42611268 in words is "forty-two million, six hundred eleven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 3066 6132 6949 13898 20847 27796 41694 48643 83388 97286 145929 194572 291858 507277 583716 1014554 1521831 2029108 3043662 3550939 6087324 7101878 10652817 14203756 21305634 42611268