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42624340 = 22511313619
BaseRepresentation
bin1010001010011…
…0010101010100
32222012112121021
42202212111110
541402434330
64121330524
71025205133
oct242462524
988175537
1042624340
1122073330
1212336a44
138aa5205
14593791a
153b1e67a
hex28a6554

42624340 has 48 divisors (see below), whose sum is σ = 98118720. Its totient is φ = 15425280.

The previous prime is 42624331. The next prime is 42624343. The reversal of 42624340 is 4342624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42624343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68551 + ... + 69169.

It is an arithmetic number, because the mean of its divisors is an integer number (2044140).

Almost surely, 242624340 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 42624340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49059360).

42624340 is an abundant number, since it is smaller than the sum of its proper divisors (55494380).

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

42624340 is a wasteful number, since it uses less digits than its factorization.

42624340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 42624340 is about 6528.7318829923. The cubic root of 42624340 is about 349.3165984479.

Adding to 42624340 its reverse (4342624), we get a palindrome (46966964).

The spelling of 42624340 in words is "forty-two million, six hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 619 626 1238 1252 1565 2476 3095 3130 3443 6190 6260 6809 6886 12380 13618 13772 17215 27236 34045 34430 68090 68860 136180 193747 387494 774988 968735 1937470 2131217 3874940 4262434 8524868 10656085 21312170 42624340