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5770752 = 29313172
BaseRepresentation
bin10110000000111000000000
3101212011222120
4112000320000
52434131002
6323404240
7100023231
oct26007000
911764876
105770752
113291719
121b23680
131270860
14aa3088
1578ecbc
hex580e00

5770752 has 120 divisors (see below), whose sum is σ = 17587416. Its totient is φ = 1671168.

The previous prime is 5770747. The next prime is 5770757. The reversal of 5770752 is 2570775.

5770752 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5770747) and next prime (5770757).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5770757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339448 + ... + 339464.

Almost surely, 25770752 is an apocalyptic number.

5770752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793708).

5770752 is an abundant number, since it is smaller than the sum of its proper divisors (11816664).

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

5770752 is a wasteful number, since it uses less digits than its factorization.

5770752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 33.

The square root of 5770752 is about 2402.2389556412. The cubic root of 5770752 is about 179.3676577181.

The spelling of 5770752 in words is "five million, seven hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 289 312 384 408 416 442 512 544 578 624 663 768 816 832 867 884 1088 1156 1248 1326 1536 1632 1664 1734 1768 2176 2312 2496 2652 3264 3328 3468 3536 3757 4352 4624 4992 5304 6528 6656 6936 7072 7514 8704 9248 9984 10608 11271 13056 13872 14144 15028 18496 19968 21216 22542 26112 27744 28288 30056 36992 42432 45084 55488 56576 60112 73984 84864 90168 110976 113152 120224 147968 169728 180336 221952 240448 339456 360672 443904 480896 721344 961792 1442688 1923584 2885376 5770752