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652220028 = 2232175771847
BaseRepresentation
bin100110111000000…
…001011001111100
31200110021012200100
4212320001121330
52313432020103
6144415201100
722106531055
oct4670013174
91613235610
10652220028
11305185619
12162516190
13a5180615
146289b72c
153c3d55a3
hex26e0167c

652220028 has 72 divisors (see below), whose sum is σ = 1749619872. Its totient is φ = 204152832.

The previous prime is 652219933. The next prime is 652220029. The reversal of 652220028 is 820022256.

652220028 is a `hidden beast` number, since 652 + 2 + 2 + 0 + 0 + 2 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 652219983 and 652220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652220029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352201 + ... + 354047.

It is an arithmetic number, because the mean of its divisors is an integer number (24300276).

Almost surely, 2652220028 is an apocalyptic number.

652220028 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652220028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874809936).

652220028 is an abundant number, since it is smaller than the sum of its proper divisors (1097399844).

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

652220028 is a wasteful number, since it uses less digits than its factorization.

652220028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 652220028 is about 25538.5987869343. The cubic root of 652220028 is about 867.2241770531.

The spelling of 652220028 in words is "six hundred fifty-two million, two hundred twenty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 577 612 1154 1731 1847 2308 3462 3694 5193 5541 6924 7388 9809 10386 11082 16623 19618 20772 22164 29427 31399 33246 39236 58854 62798 66492 88281 94197 117708 125596 176562 188394 282591 353124 376788 565182 1065719 1130364 2131438 3197157 4262876 6394314 9591471 12788628 18117223 19182942 36234446 38365884 54351669 72468892 108703338 163055007 217406676 326110014 652220028