Search a number
-
+
4386484740 = 22351121973067
BaseRepresentation
bin1000001010111010…
…00111001000000100
3102022200221111211210
410011131013020010
532440420002430
62003133331420
7213462335151
oct40535071004
912280844753
104386484740
111951068a00
12a25036b70
1354ba10401
142d87db228
151aa1692b0
hex105747204

4386484740 has 144 divisors (see below), whose sum is σ = 13573175616. Its totient is φ = 1057647360.

The previous prime is 4386484733. The next prime is 4386484747. The reversal of 4386484740 is 474846834.

It is an interprime number because it is at equal distance from previous prime (4386484733) and next prime (4386484747).

It is a self number, because there is not a number n which added to its sum of digits gives 4386484740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4386484747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1428687 + ... + 1431753.

It is an arithmetic number, because the mean of its divisors is an integer number (94258164).

Almost surely, 24386484740 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 4386484740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786587808).

4386484740 is an abundant number, since it is smaller than the sum of its proper divisors (9186690876).

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

4386484740 is a wasteful number, since it uses less digits than its factorization.

4386484740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The square root of 4386484740 is about 66230.5423501877. The cubic root of 4386484740 is about 1636.9630416268.

The spelling of 4386484740 in words is "four billion, three hundred eighty-six million, four hundred eighty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 197 220 242 330 363 394 484 591 605 660 726 788 985 1182 1210 1452 1815 1970 2167 2364 2420 2955 3067 3630 3940 4334 5910 6134 6501 7260 8668 9201 10835 11820 12268 13002 15335 18402 21670 23837 26004 30670 32505 33737 36804 43340 46005 47674 61340 65010 67474 71511 92010 95348 101211 119185 130020 134948 143022 168685 184020 202422 238370 286044 337370 357555 371107 404844 476740 506055 604199 674740 715110 742214 1012110 1113321 1208398 1430220 1484428 1812597 1855535 2024220 2226642 2416796 3020995 3625194 3711070 4453284 5566605 6041990 6646189 7250388 7422140 9062985 11133210 12083980 13292378 18125970 19938567 22266420 26584756 33230945 36251940 39877134 66461890 73108079 79754268 99692835 132923780 146216158 199385670 219324237 292432316 365540395 398771340 438648474 731080790 877296948 1096621185 1462161580 2193242370 4386484740