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46470006 = 23211298093
BaseRepresentation
bin1011000101000…
…1001101110110
310020102220212100
42301101031312
543344020011
64340002530
71102663032
oct261211566
9106386770
1046470006
112425a670
1213690446
13982075b
1462591c2
15412dd56
hex2c51376

46470006 has 48 divisors (see below), whose sum is σ = 113639760. Its totient is φ = 13594560.

The previous prime is 46469963. The next prime is 46470013. The reversal of 46470006 is 60007464.

46470006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×464700062 = 4318922915280072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1696 + ... + 9788.

It is an arithmetic number, because the mean of its divisors is an integer number (2367495).

Almost surely, 246470006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46470006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56819880).

46470006 is an abundant number, since it is smaller than the sum of its proper divisors (67169754).

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

46470006 is a wasteful number, since it uses less digits than its factorization.

46470006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46470006 is about 6816.8912269450. The cubic root of 46470006 is about 359.5209832724.

The spelling of 46470006 in words is "forty-six million, four hundred seventy thousand, six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 8093 16186 24279 48558 72837 89023 145674 178046 234697 267069 469394 534138 704091 801207 1408182 1602414 2112273 2581667 4224546 5163334 7745001 15490002 23235003 46470006