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652025052 = 223471915131
BaseRepresentation
bin100110110111010…
…001110011011100
31200102220022020000
4212313101303130
52313404300202
6144411054300
722105056450
oct4667216334
91612808200
10652025052
11305062088
12162441390
13a5112953
146284a660
153c39791c
hex26dd1cdc

652025052 has 120 divisors (see below), whose sum is σ = 2050688640. Its totient is φ = 176476320.

The previous prime is 652025051. The next prime is 652025053. The reversal of 652025052 is 250520256.

652025052 is a `hidden beast` number, since 652 + 0 + 2 + 5 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (652025051) and next prime (652025053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652025051) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 35527 + ... + 50657.

It is an arithmetic number, because the mean of its divisors is an integer number (17089072).

Almost surely, 2652025052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652025052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025344320).

652025052 is an abundant number, since it is smaller than the sum of its proper divisors (1398663588).

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

652025052 is a wasteful number, since it uses less digits than its factorization.

652025052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 652025052 is about 25534.7812209151. The cubic root of 652025052 is about 867.1377518459.

The spelling of 652025052 in words is "six hundred fifty-two million, twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2268 2394 3078 3591 4788 6156 7182 10773 14364 15131 21546 30262 43092 45393 60524 90786 105917 136179 181572 211834 272358 287489 317751 408537 423668 544716 574978 635502 817074 862467 953253 1149956 1225611 1271004 1634148 1724934 1906506 2012423 2451222 2587401 2859759 3449868 3813012 4024846 4902444 5174802 5719518 6037269 7762203 8049692 8579277 10349604 11439036 12074538 15524406 17158554 18111807 23286609 24149076 31048812 34317108 36223614 46573218 54335421 72447228 93146436 108670842 163006263 217341684 326012526 652025052