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4292857872 = 2433194312163
BaseRepresentation
bin1111111111011111…
…1101000000010000
3102002011202202221000
43333313331000100
532242432422442
61545550502000
7211244455422
oct37767750020
912064682830
104292857872
11190322a726
129b9804900
135354bb6b4
142ca1c8812
151a1d22d4c
hexffdfd010

4292857872 has 160 divisors (see below), whose sum is σ = 13273356800. Its totient is φ = 1324003968.

The previous prime is 4292857787. The next prime is 4292857879. The reversal of 4292857872 is 2787582924.

4292857872 is a `hidden beast` number, since 42 + 9 + 28 + 578 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4292857879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346863 + ... + 359025.

It is an arithmetic number, because the mean of its divisors is an integer number (82958480).

Almost surely, 24292857872 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 4292857872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636678400).

4292857872 is an abundant number, since it is smaller than the sum of its proper divisors (8980498928).

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

4292857872 is a wasteful number, since it uses less digits than its factorization.

4292857872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242 (or 12230 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 4292857872 is about 65519.9043955346. The cubic root of 4292857872 is about 1625.2325186172.

The spelling of 4292857872 in words is "four billion, two hundred ninety-two million, eight hundred fifty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 43 48 54 57 72 76 86 108 114 129 144 152 171 172 216 228 258 304 342 344 387 432 456 513 516 684 688 774 817 912 1026 1032 1161 1368 1548 1634 2052 2064 2322 2451 2736 3096 3268 4104 4644 4902 6192 6536 7353 8208 9288 9804 12163 13072 14706 18576 19608 22059 24326 29412 36489 39216 44118 48652 58824 72978 88236 97304 109467 117648 145956 176472 194608 218934 231097 291912 328401 352944 437868 462194 523009 583824 656802 693291 875736 924388 1046018 1313604 1386582 1569027 1751472 1848776 2079873 2092036 2627208 2773164 3138054 3697552 4159746 4184072 4707081 5254416 5546328 6239619 6276108 8319492 8368144 9414162 9937171 11092656 12479238 12552216 14121243 16638984 18828324 19874342 24958476 25104432 28242486 29811513 33277968 37656648 39748684 49916952 56484972 59623026 75313296 79497368 89434539 99833904 112969944 119246052 158994736 178869078 225939888 238492104 268303617 357738156 476984208 536607234 715476312 1073214468 1430952624 2146428936 4292857872