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258752952 = 23323593791
BaseRepresentation
bin11110110110001…
…00000110111000
3200000220000022200
433123010012320
51012220043302
641401550200
76261235533
oct1733040670
9600800280
10258752952
11123071a17
12727a5360
13417b8773
1426517a1a
1517ab281c
hexf6c41b8

258752952 has 24 divisors (see below), whose sum is σ = 700789440. Its totient is φ = 86250960.

The previous prime is 258752947. The next prime is 258752969. The reversal of 258752952 is 259257852.

258752952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 258752898 and 258752907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1796824 + ... + 1796967.

It is an arithmetic number, because the mean of its divisors is an integer number (29199560).

Almost surely, 2258752952 is an apocalyptic number.

It is an amenable number.

258752952 is an abundant number, since it is smaller than the sum of its proper divisors (442036488).

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

258752952 is a wasteful number, since it uses less digits than its factorization.

258752952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593803 (or 3593796 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 258752952 is about 16085.7997003568. The cubic root of 258752952 is about 637.2283724006.

The spelling of 258752952 in words is "two hundred fifty-eight million, seven hundred fifty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3593791 7187582 10781373 14375164 21562746 28750328 32344119 43125492 64688238 86250984 129376476 258752952