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5456031 = 371722931
BaseRepresentation
bin10100110100000010011111
3101021012021020
4110310002133
52344043111
6312535223
764242540
oct24640237
911235236
105456031
113097219
1219b1513
131190529
14a204c7
1572b906
hex53409f

5456031 has 48 divisors (see below), whose sum is σ = 9431040. Its totient is φ = 2741760.

The previous prime is 5456027. The next prime is 5456039. The reversal of 5456031 is 1306545.

It is not a de Polignac number, because 5456031 - 22 = 5456027 is a prime.

It is a super-3 number, since 3×54560313 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 5455992 and 5456010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175986 + ... + 176016.

It is an arithmetic number, because the mean of its divisors is an integer number (196480).

Almost surely, 25456031 is an apocalyptic number.

5456031 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5456031 is a deficient number, since it is larger than the sum of its proper divisors (3975009).

5456031 is a wasteful number, since it uses less digits than its factorization.

5456031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5456031 is about 2335.8148471144. The cubic root of 5456031 is about 176.0457762300.

The spelling of 5456031 in words is "five million, four hundred fifty-six thousand, thirty-one".

Divisors: 1 3 7 17 21 29 31 51 87 93 119 203 217 289 357 493 527 609 651 867 899 1479 1581 2023 2697 3451 3689 6069 6293 8381 8959 10353 11067 15283 18879 25143 26877 45849 58667 62713 106981 176001 188139 259811 320943 779433 1818677 5456031