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2426808440 = 235719456167
BaseRepresentation
bin1001000010100110…
…0010100001111000
320021010110122100002
42100221202201320
514432230332230
61040450532132
7114065350160
oct22051424170
96233418302
102426808440
111035963111
12578897048
132c8a14034
1419043b5a0
15e30be545
hex90a62878

2426808440 has 64 divisors (see below), whose sum is σ = 6568819200. Its totient is φ = 788254848.

The previous prime is 2426808401. The next prime is 2426808457. The reversal of 2426808440 is 448086242.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2426808394 and 2426808403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222764 + ... + 233403.

It is an arithmetic number, because the mean of its divisors is an integer number (102637800).

Almost surely, 22426808440 is an apocalyptic number.

2426808440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2426808440 is an abundant number, since it is smaller than the sum of its proper divisors (4142010760).

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

2426808440 is a wasteful number, since it uses less digits than its factorization.

2426808440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456204 (or 456200 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 2426808440 is about 49262.6475131006. The cubic root of 2426808440 is about 1343.8325787650.

The spelling of 2426808440 in words is "two billion, four hundred twenty-six million, eight hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 456167 912334 1824668 2280835 3193169 3649336 4561670 6386338 8667173 9123340 12772676 15965845 17334346 18246680 25545352 31931690 34668692 43335865 60670211 63863380 69337384 86671730 121340422 127726760 173343460 242680844 303351055 346686920 485361688 606702110 1213404220 2426808440