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506424373 = 713172343331
BaseRepresentation
bin11110001011110…
…110110000110101
31022021221000122021
4132023312300311
52014121034443
6122130233141
715356351620
oct3613666065
91267830567
10506424373
1123a955144
121217257b1
1380bc42c0
144b388db7
152e6d69ed
hex1e2f6c35

506424373 has 64 divisors (see below), whose sum is σ = 706793472. Its totient is φ = 351267840.

The previous prime is 506424371. The next prime is 506424397. The reversal of 506424373 is 373424605.

It is not a de Polignac number, because 506424373 - 21 = 506424371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506424371) 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 63 ways as a sum of consecutive naturals, for example, 1529818 + ... + 1530148.

It is an arithmetic number, because the mean of its divisors is an integer number (11043648).

Almost surely, 2506424373 is an apocalyptic number.

506424373 is the 14233-rd heptagonal number.

It is an amenable number.

506424373 is a deficient number, since it is larger than the sum of its proper divisors (200369099).

506424373 is a wasteful number, since it uses less digits than its factorization.

506424373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 506424373 is about 22503.8746219401. The cubic root of 506424373 is about 797.0854220435.

Adding to 506424373 its reverse (373424605), we get a palindrome (879848978).

The spelling of 506424373 in words is "five hundred six million, four hundred twenty-four thousand, three hundred seventy-three".

Divisors: 1 7 13 17 23 43 91 119 161 221 299 301 331 391 559 731 989 1547 2093 2317 2737 3913 4303 5083 5117 5627 6923 7613 9503 12857 14233 16813 30121 35581 39389 53291 66521 73151 89999 98969 99631 117691 129421 185029 218569 241961 327359 512057 692783 905947 1295203 1529983 1682473 1693727 2291513 3145493 4255667 5565103 11777311 22018451 29789669 38955721 72346339 506424373