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45993431 = 1124173127
BaseRepresentation
bin1010111101110…
…0110111010111
310012112201010102
42233130313113
543233242211
64321444315
71065636431
oct257346727
9105481112
1045993431
1123a64600
12134a069b
1396b4863
146173651
154087a3b
hex2bdcdd7

45993431 has 24 divisors (see below), whose sum is σ = 52910592. Its totient is φ = 39916800.

The previous prime is 45993427. The next prime is 45993463. The reversal of 45993431 is 13439954.

It is not a de Polignac number, because 45993431 - 22 = 45993427 is a prime.

It is a super-2 number, since 2×459934312 = 4230791390303522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45993131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362090 + ... + 362216.

It is an arithmetic number, because the mean of its divisors is an integer number (2204608).

Almost surely, 245993431 is an apocalyptic number.

45993431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

45993431 is a deficient number, since it is larger than the sum of its proper divisors (6917161).

45993431 is a wasteful number, since it uses less digits than its factorization.

45993431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 45993431 is about 6781.8456927300. The cubic root of 45993431 is about 358.2877304625.

The spelling of 45993431 in words is "forty-five million, nine hundred ninety-three thousand, four hundred thirty-one".

Divisors: 1 11 41 73 121 127 451 803 1397 2993 4961 5207 8833 9271 15367 32923 57277 101981 362153 380111 630047 1121791 4181221 45993431