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42976224 = 253349741
BaseRepresentation
bin1010001111110…
…0001111100000
32222212102022000
42203330033200
542000214344
64133044000
71031202054
oct243741740
988772260
1042976224
1122293745
1212486600
138b99425
1459c9c64
153b8da69
hex28fc3e0

42976224 has 48 divisors (see below), whose sum is σ = 125349840. Its totient is φ = 14325120.

The previous prime is 42976217. The next prime is 42976243. The reversal of 42976224 is 42267924.

42976224 is a `hidden beast` number, since 4 + 29 + 7 + 622 + 4 = 666.

42976224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24007 + ... + 25734.

It is an arithmetic number, because the mean of its divisors is an integer number (2611455).

Almost surely, 242976224 is an apocalyptic number.

It is an amenable number.

42976224 is an abundant number, since it is smaller than the sum of its proper divisors (82373616).

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

42976224 is a wasteful number, since it uses less digits than its factorization.

42976224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49760 (or 49746 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42976224 is about 6555.6253706264. The cubic root of 42976224 is about 350.2752229771.

The spelling of 42976224 in words is "forty-two million, nine hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 49741 99482 149223 198964 298446 397928 447669 596892 795856 895338 1193784 1343007 1591712 1790676 2387568 2686014 3581352 4775136 5372028 7162704 10744056 14325408 21488112 42976224