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1025465364 = 22327111747463
BaseRepresentation
bin111101000111110…
…101110000010100
32122110121001000200
4331013311300110
54100004342424
6245431140500
734261211640
oct7507656024
92573531020
101025465364
11486937340
12247514730
131345b5151
149a299c20
15600618c9
hex3d1f5c14

1025465364 has 288 divisors, whose sum is σ = 3502227456. Its totient is φ = 244823040.

The previous prime is 1025465341. The next prime is 1025465393. The reversal of 1025465364 is 4635645201.

1025465364 is a `hidden beast` number, since 1 + 0 + 2 + 546 + 53 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2214597 + ... + 2215059.

It is an arithmetic number, because the mean of its divisors is an integer number (12160512).

Almost surely, 21025465364 is an apocalyptic number.

1025465364 is a gapful number since it is divisible by the number (14) 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 1025465364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751113728).

1025465364 is an abundant number, since it is smaller than the sum of its proper divisors (2476762092).

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

1025465364 is a wasteful number, since it uses less digits than its factorization.

1025465364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1025465364 is about 32022.8881270881. Note that the first 3 decimals coincide. The cubic root of 1025465364 is about 1008.4174031917.

The spelling of 1025465364 in words is "one billion, twenty-five million, four hundred sixty-five thousand, three hundred sixty-four".