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945952 = 25741103
BaseRepresentation
bin11100110111100100000
31210001121021
43212330200
5220232302
632135224
711016610
oct3467440
91701537
10945952
11596787
12397514
13271747
141a8a40
1513a437
hexe6f20

945952 has 48 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 391680.

The previous prime is 945949. The next prime is 945961. The reversal of 945952 is 259549.

945952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9133 + ... + 9235.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2945952 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 945952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

945952 is an abundant number, since it is smaller than the sum of its proper divisors (1255520).

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

945952 is a wasteful number, since it uses less digits than its factorization.

945952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 16200, while the sum is 34.

The square root of 945952 is about 972.6006374664. The cubic root of 945952 is about 98.1649312105.

The spelling of 945952 in words is "nine hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 103 112 164 206 224 287 328 412 574 656 721 824 1148 1312 1442 1648 2296 2884 3296 4223 4592 5768 8446 9184 11536 16892 23072 29561 33784 59122 67568 118244 135136 236488 472976 945952