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1485275040 = 253251724383
BaseRepresentation
bin101100010000111…
…0111111110100000
310211111210210022200
41120201313332200
511020212300130
6403214333200
751543425634
oct13041677640
93744723280
101485275040
116a2443137
123554ba200
131a8937b92
1410138cdc4
158a5db760
hex58877fa0

1485275040 has 432 divisors, whose sum is σ = 5575778208. Its totient is φ = 359718912.

The previous prime is 1485275017. The next prime is 1485275041. The reversal of 1485275040 is 405725841.

1485275040 is a `hidden beast` number, since 1 + 48 + 527 + 50 + 40 = 666.

1485275040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1485274986 and 1485275004.

It is not an unprimeable number, because it can be changed into a prime (1485275041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17894839 + ... + 17894921.

It is an arithmetic number, because the mean of its divisors is an integer number (12906894).

Almost surely, 21485275040 is an apocalyptic number.

1485275040 is a gapful number since it is divisible by the number (10) 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 1485275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787889104).

1485275040 is an abundant number, since it is smaller than the sum of its proper divisors (4090503168).

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

1485275040 is a wasteful number, since it uses less digits than its factorization.

1485275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1485275040 is about 38539.2662099319. The cubic root of 1485275040 is about 1140.9561691696.

The spelling of 1485275040 in words is "one billion, four hundred eighty-five million, two hundred seventy-five thousand, forty".