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2426842040 = 235715535581
BaseRepresentation
bin1001000010100110…
…1010101110111000
320021010112100102112
42100221222232320
514432232421130
61040451351452
7114065550140
oct22051525670
96233470375
102426842040
111035986387
125788b2588
132c8a2640c
14190449920
15e30c9495
hex90a6abb8

2426842040 has 64 divisors (see below), whose sum is σ = 6245588160. Its totient is φ = 831375360.

The previous prime is 2426842009. The next prime is 2426842043. The reversal of 2426842040 is 402486242.

It is a super-2 number, since 2×24268420402 = 11779124574222723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2426841988 and 2426842006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426842043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432050 + ... + 437630.

It is an arithmetic number, because the mean of its divisors is an integer number (97587315).

Almost surely, 22426842040 is an apocalyptic number.

2426842040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2426842040 is an abundant number, since it is smaller than the sum of its proper divisors (3818746120).

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

2426842040 is a wasteful number, since it uses less digits than its factorization.

2426842040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2426842040 is about 49262.9885410944. The cubic root of 2426842040 is about 1343.8387806783.

The spelling of 2426842040 in words is "two billion, four hundred twenty-six million, eight hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1553 3106 5581 6212 7765 10871 11162 12424 15530 21742 22324 27905 31060 39067 43484 44648 54355 55810 62120 78134 86968 108710 111620 156268 195335 217420 223240 312536 390670 434840 781340 1562680 8667293 17334586 34669172 43336465 60671051 69338344 86672930 121342102 173345860 242684204 303355255 346691720 485368408 606710510 1213421020 2426842040