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42999552 = 28336221
BaseRepresentation
bin1010010000000…
…1111100000000
32222220121022000
42210001330000
542001441202
64133344000
71031330061
oct244017400
988817260
1042999552
11222aa222
1212498000
138ba6c2b
1459d4568
153b9591c
hex2901f00

42999552 has 72 divisors (see below), whose sum is σ = 127177680. Its totient is φ = 14330880.

The previous prime is 42999521. The next prime is 42999553. The reversal of 42999552 is 25599924.

42999552 is a `hidden beast` number, since 4 + 2 + 9 + 99 + 552 = 666.

42999552 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×429995522 = 3697922944401408, which contains 22 as substring.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 42999498 and 42999507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42999553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3802 + ... + 10022.

Almost surely, 242999552 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 42999552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63588840).

42999552 is an abundant number, since it is smaller than the sum of its proper divisors (84178128).

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

42999552 is an equidigital number, since it uses as much as digits as its factorization.

42999552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6226 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 42999552 is about 6557.4043645333. The cubic root of 42999552 is about 350.3385893505.

The spelling of 42999552 in words is "forty-two million, nine hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6221 6912 12442 18663 24884 37326 49768 55989 74652 99536 111978 149304 167967 199072 223956 298608 335934 398144 447912 597216 671868 796288 895824 1194432 1343736 1592576 1791648 2388864 2687472 3583296 4777728 5374944 7166592 10749888 14333184 21499776 42999552