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2426248044 = 22321147912791
BaseRepresentation
bin1001000010011101…
…1001101101101100
320021002102011121200
42100213121231230
514432104414134
61040430525500
7114060524313
oct22047315554
96232364550
102426248044
111035610080
12578666890
132c8878c3c
1419033327a
15e300d499
hex909d9b6c

2426248044 has 72 divisors (see below), whose sum is σ = 6705054720. Its totient is φ = 733634400.

The previous prime is 2426248037. The next prime is 2426248051. The reversal of 2426248044 is 4408426242.

It is a happy number.

2426248044 is a `hidden beast` number, since 24 + 2 + 624 + 8 + 0 + 4 + 4 = 666.

2426248044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2426248037) and next prime (2426248051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183289 + ... + 196079.

It is an arithmetic number, because the mean of its divisors is an integer number (93125760).

Almost surely, 22426248044 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 2426248044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352527360).

2426248044 is an abundant number, since it is smaller than the sum of its proper divisors (4278806676).

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

2426248044 is a wasteful number, since it uses less digits than its factorization.

2426248044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291 (or 13286 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2426248044 is about 49256.9593458630. The cubic root of 2426248044 is about 1343.7291320098.

The spelling of 2426248044 in words is "two billion, four hundred twenty-six million, two hundred forty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 479 958 1437 1916 2874 4311 5269 5748 8622 10538 12791 15807 17244 21076 25582 31614 38373 47421 51164 63228 76746 94842 115119 140701 153492 189684 230238 281402 422103 460476 562804 844206 1266309 1688412 2532618 5065236 6126889 12253778 18380667 24507556 36761334 55142001 67395779 73522668 110284002 134791558 202187337 220568004 269583116 404374674 606562011 808749348 1213124022 2426248044