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2042190525 = 352415771151
BaseRepresentation
bin111100110111001…
…0101101010111101
312021022202000202010
41321232111222331
513140300044100
6534351121433
7101415222144
oct17156255275
95238660663
102042190525
11958843a71
1248bb13279
13267129c7b
1415531c75b
15be448750
hex79b95abd

2042190525 has 48 divisors (see below), whose sum is σ = 3467778048. Its totient is φ = 1059840000.

The previous prime is 2042190517. The next prime is 2042190581. The reversal of 2042190525 is 5250912402.

It is not a de Polignac number, because 2042190525 - 23 = 2042190517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042190492 and 2042190501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773700 + ... + 1774850.

It is an arithmetic number, because the mean of its divisors is an integer number (72245376).

Almost surely, 22042190525 is an apocalyptic number.

2042190525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2042190525 is a deficient number, since it is larger than the sum of its proper divisors (1425587523).

2042190525 is a wasteful number, since it uses less digits than its factorization.

2042190525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2042190525 is about 45190.6021756736. The cubic root of 2042190525 is about 1268.7189274667.

The spelling of 2042190525 in words is "two billion, forty-two million, one hundred ninety thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 205 577 615 1025 1151 1731 2885 3075 3453 5755 8655 14425 17265 23657 28775 43275 47191 70971 86325 118285 141573 235955 354855 591425 664127 707865 1179775 1774275 1992381 3320635 3539325 9961905 16603175 27229207 49809525 81687621 136146035 408438105 680730175 2042190525