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5901952 = 2772941
BaseRepresentation
bin10110100000111010000000
3102002211221211
4112200322000
53002330302
6330255504
7101110600
oct26407200
912084854
105901952
113371251
121b87594
1312b84a4
14ad8c00
157b8ad7
hex5a0e80

5901952 has 48 divisors (see below), whose sum is σ = 13691970. Its totient is φ = 2526720.

The previous prime is 5901919. The next prime is 5901971. The reversal of 5901952 is 2591095.

It can be written as a sum of positive squares in only one way, i.e., 4769856 + 1132096 = 2184^2 + 1064^2 .

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, 5802 + ... + 6742.

Almost surely, 25901952 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 5901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845985).

5901952 is an abundant number, since it is smaller than the sum of its proper divisors (7790018).

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

5901952 is an equidigital number, since it uses as much as digits as its factorization.

5901952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 5901952 is about 2429.3933399102. The cubic root of 5901952 is about 180.7168124367.

The spelling of 5901952 in words is "five million, nine hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 941 1568 1882 3136 3764 6272 6587 7528 13174 15056 26348 30112 46109 52696 60224 92218 105392 120448 184436 210784 368872 421568 737744 843136 1475488 2950976 5901952