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4905417342 = 2372137121789
BaseRepresentation
bin1001001000110001…
…01011101001111110
3110122212102000112210
410210120223221332
540021241323332
62130432041250
7232363234200
oct44430535176
913585360483
104905417342
112097a86721
12b4a993226
13602393b17
143476c0770
151da9c1ecc
hex12462ba7e

4905417342 has 48 divisors (see below), whose sum is σ = 11496001680. Its totient is φ = 1391306112.

The previous prime is 4905417323. The next prime is 4905417379. The reversal of 4905417342 is 2437145094.

It is a self number, because there is not a number n which added to its sum of digits gives 4905417342.

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 23 ways as a sum of consecutive naturals, for example, 20617 + ... + 101172.

It is an arithmetic number, because the mean of its divisors is an integer number (239500035).

Almost surely, 24905417342 is an apocalyptic number.

4905417342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4905417342 is an abundant number, since it is smaller than the sum of its proper divisors (6590584338).

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

4905417342 is a wasteful number, since it uses less digits than its factorization.

4905417342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121945 (or 121938 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4905417342 is about 70038.6846107207. The cubic root of 4905417342 is about 1699.1249639747.

The spelling of 4905417342 in words is "four billion, nine hundred five million, four hundred seventeen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 137 147 274 294 411 822 959 1918 2877 5754 6713 13426 20139 40278 121789 243578 365367 730734 852523 1705046 2557569 5115138 5967661 11935322 16685093 17902983 33370186 35805966 50055279 100110558 116795651 233591302 350386953 700773906 817569557 1635139114 2452708671 4905417342