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42990912 = 26348293
BaseRepresentation
bin1010001111111…
…1110101000000
32222220011110000
42203333311000
542001202122
64133240000
71031262636
oct243776500
988804400
1042990912
11222a3788
1212493000
138ba3013
1459d1356
153b930ac
hex28ffd40

42990912 has 70 divisors (see below), whose sum is σ = 127453898. Its totient is φ = 14328576.

The previous prime is 42990911. The next prime is 42990917. The reversal of 42990912 is 21909924.

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 11451456 = 5616^2 + 3384^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42990911) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1038 + ... + 9330.

Almost surely, 242990912 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 42990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63726949).

42990912 is an abundant number, since it is smaller than the sum of its proper divisors (84462986).

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

42990912 is an equidigital number, since it uses as much as digits as its factorization.

42990912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8317 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 42990912 is about 6556.7455341808. The cubic root of 42990912 is about 350.3151229961.

The spelling of 42990912 in words is "forty-two million, nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8293 16586 24879 33172 49758 66344 74637 99516 132688 149274 199032 223911 265376 298548 398064 447822 530752 597096 671733 796128 895644 1194192 1343466 1592256 1791288 2388384 2686932 3582576 4776768 5373864 7165152 10747728 14330304 21495456 42990912