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616052420 = 225611493389
BaseRepresentation
bin100100101110000…
…011011011000100
31120221012201001022
4210232003123010
52230202134140
6141044050312
721160234124
oct4456033304
91527181038
10616052420
11296822335
12152393998
139a829279
145bb64c84
153913e0b5
hex24b836c4

616052420 has 48 divisors (see below), whose sum is σ = 1324134000. Its totient is φ = 240683520.

The previous prime is 616052417. The next prime is 616052431. The reversal of 616052420 is 24250616.

It can be written as a sum of positive squares in 8 ways, for example, as 48469444 + 567582976 = 6962^2 + 23824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 616052420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180086 + ... + 183474.

It is an arithmetic number, because the mean of its divisors is an integer number (27586125).

Almost surely, 2616052420 is an apocalyptic number.

It is an amenable number.

616052420 is an abundant number, since it is smaller than the sum of its proper divisors (708081580).

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

616052420 is a wasteful number, since it uses less digits than its factorization.

616052420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 616052420 is about 24820.4033005107. The cubic root of 616052420 is about 850.8883077821. Note that the first 3 decimals are identical.

It can be divided in two parts, 61605 and 2420, that multiplied together give a square (149084100 = 122102).

The spelling of 616052420 in words is "six hundred sixteen million, fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 149 244 298 305 596 610 745 1220 1490 2980 3389 6778 9089 13556 16945 18178 33890 36356 45445 67780 90890 181780 206729 413458 504961 826916 1009922 1033645 2019844 2067290 2524805 4134580 5049610 10099220 30802621 61605242 123210484 154013105 308026210 616052420