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468937476 = 223276912693
BaseRepresentation
bin11011111100110…
…110101100000100
31012200101111021200
4123330312230010
51430021444401
6114310542500
714422621440
oct3374665404
91180344250
10468937476
11220780737
12111067a30
13761ca5c7
14463cb820
152b27e686
hex1bf36b04

468937476 has 72 divisors (see below), whose sum is σ = 1357172544. Its totient is φ = 133738560.

The previous prime is 468937429. The next prime is 468937493. The reversal of 468937476 is 674739864.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172786 + ... + 175478.

Almost surely, 2468937476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468937476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678586272).

468937476 is an abundant number, since it is smaller than the sum of its proper divisors (888235068).

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

468937476 is a wasteful number, since it uses less digits than its factorization.

468937476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3396 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 468937476 is about 21654.9642345583. The cubic root of 468937476 is about 776.9116738445.

The spelling of 468937476 in words is "four hundred sixty-eight million, nine hundred thirty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 691 1382 2073 2693 2764 4146 4837 5386 6219 8079 8292 9674 10772 12438 14511 16158 18851 19348 24237 24876 29022 32316 37702 43533 48474 56553 58044 75404 87066 96948 113106 169659 174132 226212 339318 678636 1860863 3721726 5582589 7443452 11165178 13026041 16747767 22330356 26052082 33495534 39078123 52104164 66991068 78156246 117234369 156312492 234468738 468937476