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491806434 = 23754877
BaseRepresentation
bin11101010100000…
…101111011100010
31021021102100121010
4131110011323202
52001400301214
6120445041350
715121200000
oct3524057342
91237370533
10491806434
112326804a9
12118856256
137ab76832
1449461a70
152d29a659
hex1d505ee2

491806434 has 48 divisors (see below), whose sum is σ = 1147773888. Its totient is φ = 140487312.

The previous prime is 491806429. The next prime is 491806453. The reversal of 491806434 is 434608194.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 491806392 and 491806401.

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, 98404 + ... + 103280.

It is an arithmetic number, because the mean of its divisors is an integer number (23911956).

Almost surely, 2491806434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491806434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573886944).

491806434 is an abundant number, since it is smaller than the sum of its proper divisors (655967454).

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

491806434 is an frugal number, since it uses more digits than its factorization.

491806434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 491806434 is about 22176.7092689605. The cubic root of 491806434 is about 789.3411341446.

The spelling of 491806434 in words is "four hundred ninety-one million, eight hundred six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 4877 7203 9754 14406 14631 16807 29262 33614 34139 50421 68278 100842 102417 204834 238973 477946 716919 1433838 1672811 3345622 5018433 10036866 11709677 23419354 35129031 70258062 81967739 163935478 245903217 491806434