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4870212192 = 2532473311087
BaseRepresentation
bin1001000100100100…
…11000101001100000
3110120102011102011100
410202102120221200
534433233242232
62123133314400
7231455056236
oct44222305140
913512142140
104870212192
11207a12055a
12b3b035a00
135c7cb8881
14342b58956
151d786ac7c
hex122498a60

4870212192 has 144 divisors (see below), whose sum is σ = 14200123392. Its totient is φ = 1582606080.

The previous prime is 4870212187. The next prime is 4870212233. The reversal of 4870212192 is 2912120784.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4479873 + ... + 4480959.

It is an arithmetic number, because the mean of its divisors is an integer number (98611968).

Almost surely, 24870212192 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 4870212192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100061696).

4870212192 is an abundant number, since it is smaller than the sum of its proper divisors (9329911200).

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

4870212192 is a wasteful number, since it uses less digits than its factorization.

4870212192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4870212192 is about 69786.9055912354. The cubic root of 4870212192 is about 1695.0504467195.

The spelling of 4870212192 in words is "four billion, eight hundred seventy million, two hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 331 376 423 564 662 752 846 993 1087 1128 1324 1504 1692 1986 2174 2256 2648 2979 3261 3384 3972 4348 4512 5296 5958 6522 6768 7944 8696 9783 10592 11916 13044 13536 15557 15888 17392 19566 23832 26088 31114 31776 34784 39132 46671 47664 51089 52176 62228 78264 93342 95328 102178 104352 124456 140013 153267 156528 186684 204356 248912 280026 306534 313056 359797 373368 408712 459801 497824 560052 613068 719594 746736 817424 919602 1079391 1120104 1226136 1439188 1493472 1634848 1839204 2158782 2240208 2452272 2878376 3238173 3678408 4317564 4480416 4904544 5756752 6476346 7356816 8635128 11513504 12952692 14713632 16910459 17270256 25905384 33820918 34540512 50731377 51810768 67641836 101462754 103621536 135283672 152194131 202925508 270567344 304388262 405851016 541134688 608776524 811702032 1217553048 1623404064 2435106096 4870212192