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2426995272 = 23313713312
BaseRepresentation
bin1001000010101001…
…0000001001001000
320021010211010121210
42100222100021020
514432302322042
61040454533120
7114100055652
oct22052201110
96233733553
102426995272
111035a80519
125789671a0
132c8a7b0a0
141904896d2
15e3109a9c
hex90a90248

2426995272 has 96 divisors (see below), whose sum is σ = 6646328640. Its totient is φ = 734025600.

The previous prime is 2426995271. The next prime is 2426995289. The reversal of 2426995272 is 2725996242.

Its product of digits (1088640) is a multiple of the sum of its prime divisors (420).

It is not an unprimeable number, because it can be changed into a prime (2426995271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7332147 + ... + 7332477.

It is an arithmetic number, because the mean of its divisors is an integer number (69232590).

Almost surely, 22426995272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426995272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323164320).

2426995272 is an abundant number, since it is smaller than the sum of its proper divisors (4219333368).

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

2426995272 is a wasteful number, since it uses less digits than its factorization.

2426995272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 420 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 2426995272 is about 49264.5437612082. The cubic root of 2426995272 is about 1343.8670636302.

The spelling of 2426995272 in words is "two billion, four hundred twenty-six million, nine hundred ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 331 426 568 662 852 923 993 1324 1704 1846 1986 2648 2769 3692 3972 4303 5538 7384 7944 8606 11076 12909 17212 22152 23501 25818 34424 47002 51636 70503 94004 103272 109561 141006 188008 219122 282012 305513 328683 438244 564024 611026 657366 876488 916539 1222052 1314732 1424293 1833078 2444104 2629464 2848586 3666156 4272879 5697172 7332312 7778831 8545758 11394344 15557662 17091516 23336493 31115324 34183032 46672986 62230648 93345972 101124803 186691944 202249606 303374409 404499212 606748818 808998424 1213497636 2426995272