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495456240 = 24359772113
BaseRepresentation
bin11101100010000…
…000111111110000
31021112021210012010
4131202000333300
52003314044430
6121055202520
715164210556
oct3542007760
91245253163
10495456240
11234743674
12119b16440
137b853b96
1449b31bd6
152d76bcb0
hex1d880ff0

495456240 has 80 divisors (see below), whose sum is σ = 1538214048. Its totient is φ = 131923968.

The previous prime is 495456197. The next prime is 495456251. The reversal of 495456240 is 42654594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233424 + ... + 235536.

Almost surely, 2495456240 is an apocalyptic number.

495456240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495456240 is an abundant number, since it is smaller than the sum of its proper divisors (1042757808).

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

495456240 is a wasteful number, since it uses less digits than its factorization.

495456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 495456240 is about 22258.8463312904. The cubic root of 495456240 is about 791.2889496136.

The spelling of 495456240 in words is "four hundred ninety-five million, four hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 977 1954 2113 2931 3908 4226 4885 5862 6339 7816 8452 9770 10565 11724 12678 14655 15632 16904 19540 21130 23448 25356 29310 31695 33808 39080 42260 46896 50712 58620 63390 78160 84520 101424 117240 126780 169040 234480 253560 507120 2064401 4128802 6193203 8257604 10322005 12386406 16515208 20644010 24772812 30966015 33030416 41288020 49545624 61932030 82576040 99091248 123864060 165152080 247728120 495456240