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2355425046 = 2321353257739
BaseRepresentation
bin1000110001100100…
…1110111100010110
320002011010222201200
42030121032330112
514310442100141
61025420533330
7112240532262
oct21431167426
96064128650
102355425046
11aa9637777
125589b1246
132b6cac940
14184b790a2
15dbbbdab6
hex8c64ef16

2355425046 has 96 divisors (see below), whose sum is σ = 5629085280. Its totient is φ = 707346432.

The previous prime is 2355425029. The next prime is 2355425119. The reversal of 2355425046 is 6405245532.

2355425046 is a `hidden beast` number, since 23 + 5 + 542 + 50 + 46 = 666.

2355425046 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2355425046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3186945 + ... + 3187683.

It is an arithmetic number, because the mean of its divisors is an integer number (58636305).

Almost surely, 22355425046 is an apocalyptic number.

2355425046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2355425046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814542640).

2355425046 is an abundant number, since it is smaller than the sum of its proper divisors (3273660234).

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

2355425046 is a wasteful number, since it uses less digits than its factorization.

2355425046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 2355425046 is about 48532.7213949517. The cubic root of 2355425046 is about 1330.5251748504.

The spelling of 2355425046 in words is "two billion, three hundred fifty-five million, four hundred twenty-five thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 257 318 477 514 689 739 771 954 1378 1478 1542 2067 2217 2313 3341 4134 4434 4626 6201 6651 6682 9607 10023 12402 13302 13621 19214 20046 27242 28821 30069 39167 40863 57642 60138 78334 81726 86463 117501 122589 172926 177073 189923 235002 245178 352503 354146 379846 509171 531219 569769 705006 1018342 1062438 1139538 1527513 1593657 1709307 2468999 3055026 3187314 3418614 4582539 4937998 7406997 9165078 10065919 14813994 20131838 22220991 30197757 44441982 60395514 90593271 130856947 181186542 261713894 392570841 785141682 1177712523 2355425046