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495651640 = 235119771153
BaseRepresentation
bin11101100010110…
…000101100111000
31021112122201020011
4131202300230320
52003341323030
6121103311304
715165653341
oct3542605470
91245581204
10495651640
11234867460
12119bab534
137b8c1ac3
1449b830c8
152d7a9b2a
hex1d8b0b38

495651640 has 64 divisors (see below), whose sum is σ = 1218900960. Its totient is φ = 179896320.

The previous prime is 495651631. The next prime is 495651649. The reversal of 495651640 is 46156594.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (495651631) and next prime (495651649).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 495651593 and 495651602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495651649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429304 + ... + 430456.

Almost surely, 2495651640 is an apocalyptic number.

495651640 is a gapful number since it is divisible by the number (40) 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 495651640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609450480).

495651640 is an abundant number, since it is smaller than the sum of its proper divisors (723249320).

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

495651640 is a wasteful number, since it uses less digits than its factorization.

495651640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 495651640 is about 22263.2351647284. The cubic root of 495651640 is about 791.3929598346.

The spelling of 495651640 in words is "four hundred ninety-five million, six hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 977 1153 1954 2306 3908 4612 4885 5765 7816 9224 9770 10747 11530 12683 19540 21494 23060 25366 39080 42988 46120 50732 53735 63415 85976 101464 107470 126830 214940 253660 429880 507320 1126481 2252962 4505924 5632405 9011848 11264810 12391291 22529620 24782582 45059240 49565164 61956455 99130328 123912910 247825820 495651640