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5829399136 = 251137212097
BaseRepresentation
bin1010110110111010…
…11001001001100000
3120001021001011021201
411123131121021200
543414311233021
62402240130544
7264313034521
oct53335311140
916037034251
105829399136
1125215a8940
121168306a54
1371b936102
143d42c0848
15241b89591
hex15b759260

5829399136 has 72 divisors (see below), whose sum is σ = 12868545816. Its totient is φ = 2577899520.

The previous prime is 5829399131. The next prime is 5829399193. The reversal of 5829399136 is 6319939285.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5829399131) 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, 475840 + ... + 487936.

It is an arithmetic number, because the mean of its divisors is an integer number (178729803).

Almost surely, 25829399136 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 5829399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434272908).

5829399136 is an abundant number, since it is smaller than the sum of its proper divisors (7039146680).

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

5829399136 is a wasteful number, since it uses less digits than its factorization.

5829399136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192 (or 12147 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 55.

The square root of 5829399136 is about 76350.5018713040. The cubic root of 5829399136 is about 1799.7323816125.

The spelling of 5829399136 in words is "five billion, eight hundred twenty-nine million, three hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1369 1628 2738 3256 5476 6512 10952 12097 13024 15059 21904 24194 30118 43808 48388 60236 96776 120472 133067 193552 240944 266134 387104 447589 481888 532268 895178 1064536 1790356 2129072 3580712 4258144 4923479 7161424 9846958 14322848 16560793 19693916 33121586 39387832 66243172 78775664 132486344 157551328 182168723 264972688 364337446 529945376 728674892 1457349784 2914699568 5829399136