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2426701300 = 2252241100693
BaseRepresentation
bin1001000010100100…
…1000010111110100
320021010021012100221
42100221020113310
514432213420200
61040444344124
7114064422622
oct22051102764
96233235327
102426701300
11103589a671
12578845044
132c89a733a
14190410512
15e309c91a
hex90a485f4

2426701300 has 36 divisors (see below), whose sum is σ = 5287844716. Its totient is φ = 966643200.

The previous prime is 2426701289. The next prime is 2426701309. The reversal of 2426701300 is 31076242.

It can be written as a sum of positive squares in 6 ways, for example, as 34904464 + 2391796836 = 5908^2 + 48906^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426701309) 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 11 ways as a sum of consecutive naturals, for example, 26247 + ... + 74446.

Almost surely, 22426701300 is an apocalyptic number.

2426701300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2426701300 is an abundant number, since it is smaller than the sum of its proper divisors (2861143416).

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

2426701300 is a wasteful number, since it uses less digits than its factorization.

2426701300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100948 (or 100941 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2426701300 is about 49261.5600646183. The cubic root of 2426701300 is about 1343.8128024010.

Adding to 2426701300 its reverse (31076242), we get a palindrome (2457777542).

The spelling of 2426701300 in words is "two billion, four hundred twenty-six million, seven hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 100693 201386 402772 503465 1006930 2013860 2517325 5034650 10069300 24267013 48534026 97068052 121335065 242670130 485340260 606675325 1213350650 2426701300