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392396481 = 34312712
BaseRepresentation
bin10111011000110…
…111111011000001
31000100100210210000
4113120313323001
51300423141411
6102534230213
712503213031
oct2730677301
91010323700
10392396481
11191552314
12ab4b5369
13633ab789
143a1858c1
15246b0956
hex17637ec1

392396481 has 45 divisors (see below), whose sum is σ = 614342289. Its totient is φ = 249593400.

The previous prime is 392396453. The next prime is 392396509. The reversal of 392396481 is 184693293.

It is a happy number.

The square root of 392396481 is 19809.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (392396453) and next prime (392396509).

It is not a de Polignac number, because 392396481 - 25 = 392396449 is a prime.

It is a super-2 number, since 2×3923964812 = 307949996602366722, which contains 22 as substring.

Its product of digits (279936) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (392396401) 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 44 ways as a sum of consecutive naturals, for example, 5526676 + ... + 5526746.

Almost surely, 2392396481 is an apocalyptic number.

392396481 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

392396481 is the 19809-th square number.

392396481 is the 9905-th centered octagonal number.

It is an amenable number.

392396481 is a deficient number, since it is larger than the sum of its proper divisors (221945808).

392396481 is an frugal number, since it uses more digits than its factorization.

392396481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 105 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The cubic root of 392396481 is about 732.1078012424.

The spelling of 392396481 in words is "three hundred ninety-two million, three hundred ninety-six thousand, four hundred eighty-one".

Divisors: 1 3 9 27 31 71 81 93 213 279 639 837 961 1917 2201 2511 2883 5041 5751 6603 8649 15123 19809 25947 45369 59427 68231 77841 136107 156271 178281 204693 408321 468813 614079 1406439 1842237 4219317 4844401 5526711 12657951 14533203 43599609 130798827 392396481