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2426348925 = 365272111319
BaseRepresentation
bin1001000010011111…
…0010010101111101
320021002121022000000
42100213302111331
514432121131200
61040433024513
7114061424400
oct22047622575
96232538000
102426348925
111035679950
125786b5139
132c88b2b30
1419035bd37
15e302d300
hex909f257d

2426348925 has 504 divisors, whose sum is σ = 6489272160. Its totient is φ = 881798400.

The previous prime is 2426348909. The next prime is 2426348941. The reversal of 2426348925 is 5298436242.

2426348925 is a `hidden beast` number, since 2 + 4 + 2 + 634 + 8 + 9 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2426348909) and next prime (2426348941).

It is not a de Polignac number, because 2426348925 - 24 = 2426348909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 503 ways as a sum of consecutive naturals, for example, 127702566 + ... + 127702584.

It is an arithmetic number, because the mean of its divisors is an integer number (12875540).

Almost surely, 22426348925 is an apocalyptic number.

2426348925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2426348925 is an abundant number, since it is smaller than the sum of its proper divisors (4062923235).

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

2426348925 is a wasteful number, since it uses less digits than its factorization.

2426348925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2426348925 is about 49257.9833631057. The cubic root of 2426348925 is about 1343.7477553956.

The spelling of 2426348925 in words is "two billion, four hundred twenty-six million, three hundred forty-eight thousand, nine hundred twenty-five".