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480697749 = 32731246133
BaseRepresentation
bin11100101001101…
…101110110010101
31020111111222100100
4130221231312111
51441024311444
6115411004313
714624602110
oct3451556625
91214458310
10480697749
11227383374
12114b99699
137878744c
1447bad577
152c303e69
hex1ca6dd95

480697749 has 24 divisors (see below), whose sum is σ = 819133952. Its totient is φ = 265822560.

The previous prime is 480697727. The next prime is 480697771. The reversal of 480697749 is 947796084.

It is a happy number.

480697749 is a `hidden beast` number, since 480 + 6 + 97 + 74 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (480697727) and next prime (480697771).

It is not a de Polignac number, because 480697749 - 29 = 480697237 is a prime.

It is a super-3 number, since 3×4806977493 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480697695 and 480697704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480677749) by changing a digit.

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, 121114 + ... + 125019.

Almost surely, 2480697749 is an apocalyptic number.

It is an amenable number.

480697749 is a deficient number, since it is larger than the sum of its proper divisors (338436203).

480697749 is a wasteful number, since it uses less digits than its factorization.

480697749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246177 (or 246174 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 480697749 is about 21924.8203869496. The cubic root of 480697749 is about 783.3527327422.

The spelling of 480697749 in words is "four hundred eighty million, six hundred ninety-seven thousand, seven hundred forty-nine".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 246133 738399 1722931 2215197 5168793 7630123 15506379 22890369 53410861 68671107 160232583 480697749