Search a number
-
+
8393495040 = 29325771733
BaseRepresentation
bin1111101000100101…
…01001001000000000
3210122221211201121200
413310102221020000
5114142213320130
63504513421200
7414666350010
oct76422511000
923587751550
108393495040
113617a00067
121762b6a800
13a39c17918
14598a57c40
15341d26760
hex1f44a9200

8393495040 has 480 divisors, whose sum is σ = 33735626496. Its totient is φ = 1888911360.

The previous prime is 8393495039. The next prime is 8393495059. The reversal of 8393495040 is 405943938.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11450514 + ... + 11451246.

Almost surely, 28393495040 is an apocalyptic number.

8393495040 is a gapful number since it is divisible by the number (80) 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 8393495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867813248).

8393495040 is an abundant number, since it is smaller than the sum of its proper divisors (25342131456).

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

8393495040 is a wasteful number, since it uses less digits than its factorization.

8393495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 8393495040 is about 91616.0195599001. The cubic root of 8393495040 is about 2032.2678465616.

The spelling of 8393495040 in words is "eight billion, three hundred ninety-three million, four hundred ninety-five thousand, forty".