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2426032672 = 25777314011
BaseRepresentation
bin1001000010011010…
…0101001000100000
320021002000020011221
42100212211020200
514432031021142
61040422144424
7114055636360
oct22046451040
96232006157
102426032672
111035483288
12578582114
132c8801bbb
141902b89a0
15e2eb9767
hex909a5220

2426032672 has 48 divisors (see below), whose sum is σ = 5466025152. Its totient is φ = 1038309120.

The previous prime is 2426032643. The next prime is 2426032673. The reversal of 2426032672 is 2762306242.

It is a super-2 number, since 2×24260326722 = 11771269051222919168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2426032673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166147 + ... + 180157.

It is an arithmetic number, because the mean of its divisors is an integer number (113875524).

Almost surely, 22426032672 is an apocalyptic number.

It is an amenable number.

2426032672 is an abundant number, since it is smaller than the sum of its proper divisors (3039992480).

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

2426032672 is a wasteful number, since it uses less digits than its factorization.

2426032672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14801 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 2426032672 is about 49254.7730885038. The cubic root of 2426032672 is about 1343.6893710031.

The spelling of 2426032672 in words is "two billion, four hundred twenty-six million, thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 773 1546 3092 5411 6184 10822 12368 14011 21644 24736 28022 43288 56044 86576 98077 112088 173152 196154 224176 392308 448352 784616 1569232 3138464 10830503 21661006 43322012 75813521 86644024 151627042 173288048 303254084 346576096 606508168 1213016336 2426032672