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5858000896 = 2171117239
BaseRepresentation
bin1010111010010101…
…00000000000000000
3120010020212021112011
411131022200000000
543444122012041
62405141142304
7265111120546
oct53512400000
916106767464
105858000896
112536763860
1211759ba994
1372483b827
143d8007d96
15244438e81
hex15d2a0000

5858000896 has 144 divisors (see below), whose sum is σ = 13589493120. Its totient is φ = 2495610880.

The previous prime is 5858000887. The next prime is 5858000923. The reversal of 5858000896 is 6980008585.

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, 24510345 + ... + 24510583.

It is an arithmetic number, because the mean of its divisors is an integer number (94371480).

Almost surely, 25858000896 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 5858000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794746560).

5858000896 is an abundant number, since it is smaller than the sum of its proper divisors (7731492224).

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

5858000896 is an equidigital number, since it uses as much as digits as its factorization.

5858000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

The square root of 5858000896 is about 76537.5783259439. The cubic root of 5858000896 is about 1802.6710238020.

The spelling of 5858000896 in words is "five billion, eight hundred fifty-eight million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 239 256 272 352 374 478 512 544 704 748 956 1024 1088 1408 1496 1912 2048 2176 2629 2816 2992 3824 4063 4096 4352 5258 5632 5984 7648 8126 8192 8704 10516 11264 11968 15296 16252 16384 17408 21032 22528 23936 30592 32504 32768 34816 42064 44693 45056 47872 61184 65008 65536 69632 84128 89386 90112 95744 122368 130016 131072 139264 168256 178772 180224 191488 244736 260032 278528 336512 357544 360448 382976 489472 520064 557056 673024 715088 720896 765952 978944 1040128 1114112 1346048 1430176 1441792 1531904 1957888 2080256 2228224 2692096 2860352 3063808 3915776 4160512 5384192 5720704 6127616 7831552 8321024 10768384 11441408 12255232 15663104 16642048 21536768 22882816 24510464 31326208 33284096 43073536 45765632 66568192 86147072 91531264 133136384 172294144 183062528 266272768 344588288 366125056 532545536 732250112 1464500224 2929000448 5858000896