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1382797440 = 27335431861
BaseRepresentation
bin101001001101011…
…1101000010000000
310120100222101111000
41102122331002000
510312444004230
6345114052000
746160404263
oct12232750200
93510871430
101382797440
1164a60a202
1232711a000
1319063774b
14d1914cda
15815e7b60
hex526bd080

1382797440 has 256 divisors, whose sum is σ = 5013993600. Its totient is φ = 359976960.

The previous prime is 1382797433. The next prime is 1382797453. The reversal of 1382797440 is 447972831.

1382797440 is a `hidden beast` number, since 138 + 2 + 79 + 7 + 440 = 666.

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 31 ways as a sum of consecutive naturals, for example, 742110 + ... + 743970.

Almost surely, 21382797440 is an apocalyptic number.

1382797440 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 1382797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506996800).

1382797440 is an abundant number, since it is smaller than the sum of its proper divisors (3631196160).

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

1382797440 is a wasteful number, since it uses less digits than its factorization.

1382797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1382797440 is about 37185.9844565126. The cubic root of 1382797440 is about 1114.0880663810.

The spelling of 1382797440 in words is "one billion, three hundred eighty-two million, seven hundred ninety-seven thousand, four hundred forty".