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42835344 = 2433789271
BaseRepresentation
bin1010001101100…
…1110110010000
32222121021001020
42203121312100
541431212334
64130035440
71030044246
oct243316620
988537036
1042835344
11221a7912
1212418b80
138b4a276
145990796
153b61e49
hex28d9d90

42835344 has 80 divisors (see below), whose sum is σ = 115349760. Its totient is φ = 13685760.

The previous prime is 42835343. The next prime is 42835363. The reversal of 42835344 is 44353824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42835343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157929 + ... + 158199.

It is an arithmetic number, because the mean of its divisors is an integer number (1441872).

Almost surely, 242835344 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 42835344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57674880).

42835344 is an abundant number, since it is smaller than the sum of its proper divisors (72514416).

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

42835344 is a wasteful number, since it uses less digits than its factorization.

42835344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 42835344 is about 6544.8715800999. The cubic root of 42835344 is about 349.8920592313.

The spelling of 42835344 in words is "forty-two million, eight hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 89 111 148 178 222 267 271 296 356 444 534 542 592 712 813 888 1068 1084 1424 1626 1776 2136 2168 3252 3293 4272 4336 6504 6586 9879 10027 13008 13172 19758 20054 24119 26344 30081 39516 40108 48238 52688 60162 72357 79032 80216 96476 120324 144714 158064 160432 192952 240648 289428 385904 481296 578856 892403 1157712 1784806 2677209 3569612 5354418 7139224 10708836 14278448 21417672 42835344