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8045040640 = 210571331557
BaseRepresentation
bin1110111111000010…
…11001010000000000
3202202200011102001011
413133201121100000
5112434012300030
63410145050304
7403235500660
oct73741312000
922680142034
108045040640
11345924111a
121686326994
139b29830a0
145646701a0
15321445b2a
hex1df859400

8045040640 has 352 divisors, whose sum is σ = 24562427904. Its totient is φ = 2459566080.

The previous prime is 8045040631. The next prime is 8045040649. The reversal of 8045040640 is 460405408.

It is an interprime number because it is at equal distance from previous prime (8045040631) and next prime (8045040649).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045040649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14443242 + ... + 14443798.

Almost surely, 28045040640 is an apocalyptic number.

8045040640 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 8045040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281213952).

8045040640 is an abundant number, since it is smaller than the sum of its proper divisors (16517387264).

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

8045040640 is a wasteful number, since it uses less digits than its factorization.

8045040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 8045040640 is about 89694.1505339116. The cubic root of 8045040640 is about 2003.7463646608.

The spelling of 8045040640 in words is "eight billion, forty-five million, forty thousand, six hundred forty".