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42654276 = 223576269
BaseRepresentation
bin1010001010110…
…1101001000100
32222021001200000
42202231221010
541404414101
64122121300
71025361330
oct242555104
988231600
1042654276
1122093875
1212350230
138ab5a22
1459447c0
153b28486
hex28ada44

42654276 has 72 divisors (see below), whose sum is σ = 127807680. Its totient is φ = 12184992.

The previous prime is 42654263. The next prime is 42654307. The reversal of 42654276 is 67245624.

42654276 is a `hidden beast` number, since 42 + 6 + 542 + 76 = 666.

It is a super-2 number, since 2×426542762 = 3638774522168352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42654276.

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, 3670 + ... + 9938.

Almost surely, 242654276 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 42654276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63903840).

42654276 is an abundant number, since it is smaller than the sum of its proper divisors (85153404).

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

42654276 is a wasteful number, since it uses less digits than its factorization.

42654276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6281 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42654276 is about 6531.0241157111. The cubic root of 42654276 is about 349.3983568560.

The spelling of 42654276 in words is "forty-two million, six hundred fifty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6269 6804 12538 18807 25076 37614 43883 56421 75228 87766 112842 131649 169263 175532 225684 263298 338526 394947 507789 526596 677052 789894 1015578 1184841 1523367 1579788 2031156 2369682 3046734 3554523 4739364 6093468 7109046 10663569 14218092 21327138 42654276