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2426145432 = 2332326916339
BaseRepresentation
bin1001000010011100…
…0000101010011000
320021002012221212020
42100213000222120
514432043123212
61040424414440
7114056616204
oct22047005230
96232187766
102426145432
11103554aa77
12578617420
132c8841319
14190307b04
15e2edcd8c
hex909c0a98

2426145432 has 64 divisors (see below), whose sum is σ = 6352992000. Its totient is φ = 770630784.

The previous prime is 2426145419. The next prime is 2426145451. The reversal of 2426145432 is 2345416242.

It is a junction number, because it is equal to n+sod(n) for n = 2426145393 and 2426145402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140319 + ... + 156657.

It is an arithmetic number, because the mean of its divisors is an integer number (99265500).

Almost surely, 22426145432 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 2426145432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176496000).

2426145432 is an abundant number, since it is smaller than the sum of its proper divisors (3926846568).

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

2426145432 is a wasteful number, since it uses less digits than its factorization.

2426145432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16640 (or 16636 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 2426145432 is about 49255.9177358416. The cubic root of 2426145432 is about 1343.7101885389.

The spelling of 2426145432 in words is "two billion, four hundred twenty-six million, one hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 269 276 538 552 807 1076 1614 2152 3228 6187 6456 12374 16339 18561 24748 32678 37122 49017 49496 65356 74244 98034 130712 148488 196068 375797 392136 751594 1127391 1503188 2254782 3006376 4395191 4509564 8790382 9019128 13185573 17580764 26371146 35161528 52742292 101089393 105484584 202178786 303268179 404357572 606536358 808715144 1213072716 2426145432