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2042301525 = 352112313719
BaseRepresentation
bin111100110111011…
…0000110001010101
312021022221200000020
41321232300301111
513140312122100
6534353335353
7101416163565
oct17156606125
95238850006
102042301525
1195890a400
1248bb67559
13267168654
1415534ada5
15be46b5a0
hex79bb0c55

2042301525 has 72 divisors (see below), whose sum is σ = 3728511360. Its totient is φ = 985670400.

The previous prime is 2042301487. The next prime is 2042301551. The reversal of 2042301525 is 5251032402.

It is not a de Polignac number, because 2042301525 - 212 = 2042297429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042301495 and 2042301504.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2840116 + ... + 2840834.

It is an arithmetic number, because the mean of its divisors is an integer number (51784880).

Almost surely, 22042301525 is an apocalyptic number.

2042301525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2042301525 is a deficient number, since it is larger than the sum of its proper divisors (1686209835).

2042301525 is a wasteful number, since it uses less digits than its factorization.

2042301525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2042301525 is about 45191.8302904408. The cubic root of 2042301525 is about 1268.7419134463.

Adding to 2042301525 its reverse (5251032402), we get a palindrome (7293333927).

The spelling of 2042301525 in words is "two billion, forty-two million, three hundred one thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 165 275 313 363 605 719 825 939 1565 1815 2157 3025 3443 3595 4695 7825 7909 9075 10329 10785 17215 17975 23475 23727 37873 39545 51645 53925 86075 86999 113619 118635 189365 197725 225047 258225 260997 434995 568095 593175 675141 946825 1125235 1304985 2174975 2475517 2840475 3375705 5626175 6524925 7426551 12377585 16878525 27230687 37132755 61887925 81692061 136153435 185663775 408460305 680767175 2042301525