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5112890424 = 2334192631579
BaseRepresentation
bin1001100001100000…
…01000010000111000
3111012022210202010000
410300300020100320
540432344443144
62203202553000
7240462565035
oct46060102070
914168722100
105112890424
112194103284
12ba8368760
13636366765
1436708a38c
151edd05769
hex130c08438

5112890424 has 160 divisors (see below), whose sum is σ = 15141456000. Its totient is φ = 1607439168.

The previous prime is 5112890407. The next prime is 5112890459. The reversal of 5112890424 is 4240982115.

It is a super-2 number, since 2×51128904242 = 52283296975661799552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3237267 + ... + 3238845.

It is an arithmetic number, because the mean of its divisors is an integer number (94634100).

Almost surely, 25112890424 is an apocalyptic number.

5112890424 is a gapful number since it is divisible by the number (54) 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 5112890424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570728000).

5112890424 is an abundant number, since it is smaller than the sum of its proper divisors (10028565576).

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

5112890424 is a wasteful number, since it uses less digits than its factorization.

5112890424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5112890424 is about 71504.4783492615. The cubic root of 5112890424 is about 1722.7496159647.

The spelling of 5112890424 in words is "five billion, one hundred twelve million, eight hundred ninety thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 263 324 342 456 513 526 648 684 789 1026 1052 1368 1539 1578 1579 2052 2104 2367 3078 3156 3158 4104 4734 4737 4997 6156 6312 6316 7101 9468 9474 9994 12312 12632 14202 14211 14991 18936 18948 19988 21303 28404 28422 29982 30001 37896 39976 42606 42633 44973 56808 56844 59964 60002 85212 85266 89946 90003 113688 119928 120004 127899 134919 170424 170532 179892 180006 240008 255798 269838 270009 341064 359784 360012 404757 415277 511596 539676 540018 720024 809514 810027 830554 1023192 1079352 1080036 1245831 1619028 1620054 1661108 2160072 2430081 2491662 3238056 3240108 3322216 3737493 4860162 4983324 6480216 7474986 7890263 9720324 9966648 11212479 14949972 15780526 19440648 22424958 23670789 29899944 31561052 33637437 44849916 47341578 63122104 67274874 71012367 89699832 94683156 134549748 142024734 189366312 213037101 269099496 284049468 426074202 568098936 639111303 852148404 1278222606 1704296808 2556445212 5112890424