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468090972 = 223229448363
BaseRepresentation
bin11011111001101…
…000000001011100
31012121210111002200
4123321220001130
51424312402342
6114240451500
714412464466
oct3371500134
91177714080
10468090972
11220252748
12110919b90
1375c9220b
144624b136
152b16394c
hex1be6805c

468090972 has 36 divisors (see below), whose sum is σ = 1224033720. Its totient is φ = 150649632.

The previous prime is 468090967. The next prime is 468091021. The reversal of 468090972 is 279090864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223138 + ... + 225225.

Almost surely, 2468090972 is an apocalyptic number.

It is an amenable number.

468090972 is an abundant number, since it is smaller than the sum of its proper divisors (755942748).

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

468090972 is a wasteful number, since it uses less digits than its factorization.

468090972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448402 (or 448397 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 468090972 is about 21635.4101417098. The cubic root of 468090972 is about 776.4439107307.

The spelling of 468090972 in words is "four hundred sixty-eight million, ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 448363 896726 1345089 1793452 2690178 4035267 5380356 8070534 13002527 16141068 26005054 39007581 52010108 78015162 117022743 156030324 234045486 468090972