Search a number
-
+
5757629952 = 29313727361
BaseRepresentation
bin1010101110010111…
…00111011000000000
3112212020222220110210
411113023213120000
543242423124302
62351153554120
7262452022104
oct52713473000
915766886423
105757629952
112495039668
121148275940
13709ac8239
143c895b904
1523a70e66c
hex1572e7600

5757629952 has 80 divisors (see below), whose sum is σ = 15451211952. Its totient is φ = 1905131520.

The previous prime is 5757629881. The next prime is 5757629971. The reversal of 5757629952 is 2599267575.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5757629892 and 5757629901.

It is a congruent number.

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, 196752 + ... + 224112.

Almost surely, 25757629952 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 5757629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725605976).

5757629952 is an abundant number, since it is smaller than the sum of its proper divisors (9693582000).

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

5757629952 is a wasteful number, since it uses less digits than its factorization.

5757629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27519 (or 27503 counting only the distinct ones).

The product of its digits is 11907000, while the sum is 57.

The square root of 5757629952 is about 75879.0481753692. The cubic root of 5757629952 is about 1792.3160050710.

The spelling of 5757629952 in words is "five billion, seven hundred fifty-seven million, six hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 512 548 768 822 1096 1536 1644 2192 3288 4384 6576 8768 13152 17536 26304 27361 35072 52608 54722 70144 82083 105216 109444 164166 210432 218888 328332 437776 656664 875552 1313328 1751104 2626656 3502208 3748457 5253312 7004416 7496914 10506624 11245371 14008832 14993828 21013248 22490742 29987656 42026496 44981484 59975312 89962968 119950624 179925936 239901248 359851872 479802496 719703744 959604992 1439407488 1919209984 2878814976 5757629952