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5046419140 = 2257474391747
BaseRepresentation
bin1001011001100101…
…00011111011000100
3111000200201122122121
410230302203323010
540313340403030
62152430135324
7236024566150
oct45462437304
914020648577
105046419140
11215a632434
12b8a051544
13625662139
1435c306060
151e807547a
hex12cca3ec4

5046419140 has 96 divisors (see below), whose sum is σ = 12404367360. Its totient is φ = 1688563584.

The previous prime is 5046419123. The next prime is 5046419141. The reversal of 5046419140 is 419146405.

It is a happy number.

It is a super-2 number, since 2×50464191402 = 50932692273116679200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5046419096 and 5046419105.

It is not an unprimeable number, because it can be changed into a prime (5046419141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2887747 + ... + 2889493.

It is an arithmetic number, because the mean of its divisors is an integer number (129212160).

Almost surely, 25046419140 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 5046419140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202183680).

5046419140 is an abundant number, since it is smaller than the sum of its proper divisors (7357948220).

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

5046419140 is a wasteful number, since it uses less digits than its factorization.

5046419140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 5046419140 is about 71038.1527068378. The cubic root of 5046419140 is about 1715.2513623754.

The spelling of 5046419140 in words is "five billion, forty-six million, four hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 439 470 658 878 940 1316 1645 1747 1756 2195 3073 3290 3494 4390 6146 6580 6988 8735 8780 12229 12292 15365 17470 20633 24458 30730 34940 41266 48916 61145 61460 82109 82532 103165 122290 144431 164218 206330 244580 288862 328436 410545 412660 574763 577724 722155 766933 821090 1149526 1444310 1533866 1642180 2299052 2873815 2888620 3067732 3834665 5368531 5747630 7669330 10737062 11495260 15338660 21474124 26842655 36045851 53685310 72091702 107370620 144183404 180229255 252320957 360458510 504641914 720917020 1009283828 1261604785 2523209570 5046419140