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652505952 = 253722337163
BaseRepresentation
bin100110111001000…
…111001101100000
31200110210201220010
4212321013031200
52314020142302
6144425244520
722112131500
oct4671071540
91613721803
10652505952
1130536041a
12162633740
13a52507c7
1462933a00
153c44016c
hex26e47360

652505952 has 288 divisors, whose sum is σ = 2148394752. Its totient is φ = 172440576.

The previous prime is 652505897. The next prime is 652505969. The reversal of 652505952 is 259505256.

It is a self number, because there is not a number n which added to its sum of digits gives 652505952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4003023 + ... + 4003185.

It is an arithmetic number, because the mean of its divisors is an integer number (7459704).

Almost surely, 2652505952 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 652505952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074197376).

652505952 is an abundant number, since it is smaller than the sum of its proper divisors (1495888800).

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

652505952 is a wasteful number, since it uses less digits than its factorization.

652505952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 652505952 is about 25544.1960531155. The cubic root of 652505952 is about 867.3508847947.

The spelling of 652505952 in words is "six hundred fifty-two million, five hundred five thousand, nine hundred fifty-two".