Search a number
-
+
42985600848 = 2432436942119
BaseRepresentation
bin101000000010001001…
…000011011101010000
311002221201222202220200
4220002021003131100
51201013303211343
631425230335200
73051136402311
oct500211033520
9132851882820
1042985600848
1117259284163
1283b795a500
134090794a98
14211ad06608
1511b8b844d3
hexa02243750

42985600848 has 60 divisors (see below), whose sum is σ = 123097671840. Its totient is φ = 13995309888.

The previous prime is 42985600843. The next prime is 42985600859. The reversal of 42985600848 is 84800658924.

42985600848 is a `hidden beast` number, since 4 + 29 + 8 + 5 + 600 + 8 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42985600794 and 42985600803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42985600843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3464868 + ... + 3477251.

It is an arithmetic number, because the mean of its divisors is an integer number (2051627864).

Almost surely, 242985600848 is an apocalyptic number.

42985600848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42985600848 is an abundant number, since it is smaller than the sum of its proper divisors (80112070992).

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

42985600848 is a wasteful number, since it uses less digits than its factorization.

42985600848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942176 (or 6942167 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 42985600848 in words is "forty-two billion, nine hundred eighty-five million, six hundred thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 6942119 13884238 20826357 27768476 41652714 55536952 62479071 83305428 111073904 124958142 166610856 249916284 298511117 333221712 499832568 597022234 895533351 999665136 1194044468 1791066702 2388088936 2686600053 3582133404 4776177872 5373200106 7164266808 10746400212 14328533616 21492800424 42985600848