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4742084655 = 345711152063
BaseRepresentation
bin1000110101010011…
…00111100000101111
3110020111001212020000
410122221213200233
534202433202110
62102315155343
7225341024460
oct43251474057
913214055200
104742084655
112013868430
12b04145b53
135a75a7469
1432db24d67
151cb4ac1c0
hex11aa6782f

4742084655 has 80 divisors (see below), whose sum is σ = 10598252544. Its totient is φ = 1970723520.

The previous prime is 4742084621. The next prime is 4742084681. The reversal of 4742084655 is 5564802474.

It is not a de Polignac number, because 4742084655 - 213 = 4742076463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4742084655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44847 + ... + 107216.

Almost surely, 24742084655 is an apocalyptic number.

4742084655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4742084655 is an abundant number, since it is smaller than the sum of its proper divisors (5856167889).

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

4742084655 is a wasteful number, since it uses less digits than its factorization.

4742084655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152098 (or 152089 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4742084655 is about 68862.7958697583. The cubic root of 4742084655 is about 1680.0534581204.

The spelling of 4742084655 in words is "four billion, seven hundred forty-two million, eighty-four thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 2079 2835 3465 4455 6237 10395 31185 152063 456189 760315 1064441 1368567 1672693 2280945 3193323 4105701 5018079 5322205 6842835 8363465 9579969 11708851 12317103 15054237 15966615 20528505 25090395 28739907 35126553 45162711 47899845 58544255 61585515 75271185 86219721 105379659 135488133 143699535 175632765 225813555 316138977 431098605 526898295 677440665 948416931 1580694885 4742084655