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481967694 = 2321310319997
BaseRepresentation
bin11100101110100…
…011111001001110
31020120220111101100
4130232203321032
51441340431234
6115454123530
714641441425
oct3456437116
91216814340
10481967694
1122807050a
121154b05a6
1378b104b0
14480202bc
152c4a5399
hex1cba3e4e

481967694 has 48 divisors (see below), whose sum is σ = 1135566432. Its totient is φ = 146850624.

The previous prime is 481967653. The next prime is 481967711. The reversal of 481967694 is 496769184.

481967694 is a `hidden beast` number, since 481 + 9 + 6 + 76 + 94 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 481967694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14104 + ... + 34100.

It is an arithmetic number, because the mean of its divisors is an integer number (23657634).

Almost surely, 2481967694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481967694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567783216).

481967694 is an abundant number, since it is smaller than the sum of its proper divisors (653598738).

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

481967694 is a wasteful number, since it uses less digits than its factorization.

481967694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20121 (or 20118 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 481967694 is about 21953.7626387824. The cubic root of 481967694 is about 784.0419670284.

The spelling of 481967694 in words is "four hundred eighty-one million, nine hundred sixty-seven thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 927 1339 1854 2678 4017 8034 12051 19997 24102 39994 59991 119982 179973 259961 359946 519922 779883 1559766 2059691 2339649 4119382 4679298 6179073 12358146 18537219 26775983 37074438 53551966 80327949 160655898 240983847 481967694