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465780096 = 2732404323
BaseRepresentation
bin11011110000110…
…011110110000000
31012110110002011200
4123300303312000
51423214430341
6114115141200
714354031315
oct3360636600
91173402150
10465780096
11219a14531
1210bba4800
1375663432
1445c08d0c
152ad58db6
hex1bc33d80

465780096 has 48 divisors (see below), whose sum is σ = 1340334060. Its totient is φ = 155259648.

The previous prime is 465780083. The next prime is 465780137. The reversal of 465780096 is 690087564.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 201010 + ... + 203313.

Almost surely, 2465780096 is an apocalyptic number.

It is an amenable number.

465780096 is an abundant number, since it is smaller than the sum of its proper divisors (874553964).

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

465780096 is a wasteful number, since it uses less digits than its factorization.

465780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404343 (or 404328 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 465780096 is about 21581.9391158441. The cubic root of 465780096 is about 775.1640837453.

The spelling of 465780096 in words is "four hundred sixty-five million, seven hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 404323 808646 1212969 1617292 2425938 3234584 3638907 4851876 6469168 7277814 9703752 12938336 14555628 19407504 25876672 29111256 38815008 51753344 58222512 77630016 116445024 155260032 232890048 465780096