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42192576 = 26352713
BaseRepresentation
bin1010000011110…
…0111011000000
32221101121100000
42200330323000
541300130301
64104200000
71021426266
oct240747300
987347300
1042192576
11218a89a8
1212169000
13898382a
145864436
153a86786
hex283cec0

42192576 has 84 divisors (see below), whose sum is σ = 125462792. Its totient is φ = 14059008.

The previous prime is 42192569. The next prime is 42192583. The reversal of 42192576 is 67529124.

It is an interprime number because it is at equal distance from previous prime (42192569) and next prime (42192583).

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 42192576.

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 11 ways as a sum of consecutive naturals, for example, 14196 + ... + 16908.

Almost surely, 242192576 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 42192576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62731396).

42192576 is an abundant number, since it is smaller than the sum of its proper divisors (83270216).

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

42192576 is an equidigital number, since it uses as much as digits as its factorization.

42192576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2718 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42192576 is about 6495.5812672924. The cubic root of 42192576 is about 348.1331238602.

The spelling of 42192576 in words is "forty-two million, one hundred ninety-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 2713 3888 5184 5426 7776 8139 10852 15552 16278 21704 24417 32556 43408 48834 65112 73251 86816 97668 130224 146502 173632 195336 219753 260448 293004 390672 439506 520896 586008 659259 781344 879012 1172016 1318518 1562688 1758024 2344032 2637036 3516048 4688064 5274072 7032096 10548144 14064192 21096288 42192576