Search a number
-
+
42937799040 = 27325192983163
BaseRepresentation
bin100111111111010010…
…101101000110000000
311002211102001012011100
4213333102231012000
51200414034032130
631420402014400
73050016161403
oct477722550600
9132742035140
1042937799040
11172342a4a34
1283a3947400
1340838c90a6
142114821d3a
1511b4890c60
hex9ff4ad180

42937799040 has 768 divisors, whose sum is σ = 164402784000. Its totient is φ = 10283728896.

The previous prime is 42937799039. The next prime is 42937799041. The reversal of 42937799040 is 4099773924.

It is a happy number.

42937799040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42937799039) and next prime (42937799041).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42937799041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263421999 + ... + 263422161.

It is an arithmetic number, because the mean of its divisors is an integer number (214066125).

Almost surely, 242937799040 is an apocalyptic number.

42937799040 is a gapful number since it is divisible by the number (40) 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 42937799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82201392000).

42937799040 is an abundant number, since it is smaller than the sum of its proper divisors (121464984960).

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

42937799040 is a wasteful number, since it uses less digits than its factorization.

42937799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 42937799040 in words is "forty-two billion, nine hundred thirty-seven million, seven hundred ninety-nine thousand, forty".