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4375312540 = 22523411132053
BaseRepresentation
bin1000001001100100…
…11111100010011100
3102021220220220110121
410010302133202130
532430040000130
62002054044324
7213265354144
oct40462374234
912256826417
104375312540
111945828085
12a213496a4
135495cb141
142d712d924
151a91add7a
hex104c9f89c

4375312540 has 96 divisors (see below), whose sum is σ = 9913228416. Its totient is φ = 1617960960.

The previous prime is 4375312489. The next prime is 4375312561. The reversal of 4375312540 is 452135734.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4375312496 and 4375312505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2130154 + ... + 2132206.

It is an arithmetic number, because the mean of its divisors is an integer number (103262796).

Almost surely, 24375312540 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 4375312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956614208).

4375312540 is an abundant number, since it is smaller than the sum of its proper divisors (5537915876).

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

4375312540 is a wasteful number, since it uses less digits than its factorization.

4375312540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 4375312540 is about 66146.1453147498. The cubic root of 4375312540 is about 1635.5721004170.

The spelling of 4375312540 in words is "four billion, three hundred seventy-five million, three hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 113 115 164 205 226 230 410 452 460 565 820 943 1130 1886 2053 2260 2599 3772 4106 4633 4715 5198 8212 9266 9430 10265 10396 12995 18532 18860 20530 23165 25990 41060 46330 47219 51980 84173 92660 94438 106559 168346 188876 213118 231989 236095 336692 420865 426236 463978 472190 532795 841730 927956 944380 1065590 1159945 1683460 1935979 2131180 2319890 3871958 4639780 5335747 7743916 9511549 9679895 10671494 19023098 19359790 21342988 26678735 38046196 38719580 47557745 53357470 95115490 106714940 190230980 218765627 437531254 875062508 1093828135 2187656270 4375312540