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5777952 = 253139433
BaseRepresentation
bin10110000010101000100000
3101212112212020
4112002220200
52434343302
6323501440
7100053225
oct26025040
911775766
105777952
113297074
121b27880
131273c0b
14aa594c
15791ebc
hex582a20

5777952 has 48 divisors (see below), whose sum is σ = 15311520. Its totient is φ = 1907712.

The previous prime is 5777951. The next prime is 5777963. The reversal of 5777952 is 2597775.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5777951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13128 + ... + 13560.

It is an arithmetic number, because the mean of its divisors is an integer number (318990).

Almost surely, 25777952 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 5777952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655760).

5777952 is an abundant number, since it is smaller than the sum of its proper divisors (9533568).

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

5777952 is a wasteful number, since it uses less digits than its factorization.

5777952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its digits is 154350, while the sum is 42.

The square root of 5777952 is about 2403.7370904490. The cubic root of 5777952 is about 179.4422239911.

The spelling of 5777952 in words is "five million, seven hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 433 556 834 866 1112 1299 1668 1732 2224 2598 3336 3464 4448 5196 6672 6928 10392 13344 13856 20784 41568 60187 120374 180561 240748 361122 481496 722244 962992 1444488 1925984 2888976 5777952