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42653316 = 2232329732
BaseRepresentation
bin1010001010110…
…1011010000100
32222021000100110
42202231122010
541404401231
64122113020
71025355456
oct242553204
988230313
1042653316
1122093082
121234b770
138ab5464
1459442d6
153b28046
hex28ad684

42653316 has 72 divisors (see below), whose sum is σ = 108924480. Its totient is φ = 12950784.

The previous prime is 42653279. The next prime is 42653327. The reversal of 42653316 is 61335624.

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 23 ways as a sum of consecutive naturals, for example, 584256 + ... + 584328.

It is an arithmetic number, because the mean of its divisors is an integer number (1512840).

Almost surely, 242653316 is an apocalyptic number.

42653316 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42653316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54462240).

42653316 is an abundant number, since it is smaller than the sum of its proper divisors (66271164).

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

42653316 is a wasteful number, since it uses less digits than its factorization.

42653316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 130 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 42653316 is about 6530.9506199328. The cubic root of 42653316 is about 349.3957355874.

The spelling of 42653316 in words is "forty-two million, six hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 73 87 92 116 138 146 174 219 276 292 348 438 667 876 1334 1679 2001 2117 2668 3358 4002 4234 5037 5329 6351 6716 8004 8468 10074 10658 12702 15987 20148 21316 25404 31974 48691 63948 97382 122567 146073 154541 194764 245134 292146 309082 367701 463623 490268 584292 618164 735402 927246 1470804 1854492 3554443 7108886 10663329 14217772 21326658 42653316