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507809442 = 23732271087
BaseRepresentation
bin11110010001001…
…000111010100010
31022101112101121010
4132101020322202
52014444400232
6122220041350
715404211000
oct3621107242
91271471533
10507809442
11240710828
12122093256
138128a87a
144b629a70
152e8ac0cc
hex1e448ea2

507809442 has 64 divisors (see below), whose sum is σ = 1190707200. Its totient is φ = 144316368.

The previous prime is 507809399. The next prime is 507809443. The reversal of 507809442 is 244908705.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 507809442.

It is not an unprimeable number, because it can be changed into a prime (507809443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466623 + ... + 467709.

It is an arithmetic number, because the mean of its divisors is an integer number (18604800).

Almost surely, 2507809442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507809442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595353600).

507809442 is an abundant number, since it is smaller than the sum of its proper divisors (682897758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

507809442 is a wasteful number, since it uses less digits than its factorization.

507809442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 507809442 is about 22534.6276206198. The cubic root of 507809442 is about 797.8114359021.

The spelling of 507809442 in words is "five hundred seven million, eight hundred nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 227 294 343 454 681 686 1029 1087 1362 1589 2058 2174 3178 3261 4767 6522 7609 9534 11123 15218 22246 22827 33369 45654 53263 66738 77861 106526 155722 159789 233583 246749 319578 372841 467166 493498 740247 745682 1118523 1480494 1727243 2237046 3454486 5181729 10363458 12090701 24181402 36272103 72544206 84634907 169269814 253904721 507809442