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4285525720 = 235761833023
BaseRepresentation
bin1111111101101111…
…1110111011011000
3102001122222021002211
43333123332323120
532234043310340
61545125404504
7211125240040
oct37733767330
912048867084
104285525720
1118aa0819a3
129b7269734
13533b22248
142c923a720
151a13755ea
hexff6feed8

4285525720 has 128 divisors (see below), whose sum is σ = 11339274240. Its totient is φ = 1427351040.

The previous prime is 4285525693. The next prime is 4285525771. The reversal of 4285525720 is 275255824.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1416129 + ... + 1419151.

It is an arithmetic number, because the mean of its divisors is an integer number (88588080).

Almost surely, 24285525720 is an apocalyptic number.

4285525720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285525720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669637120).

4285525720 is an abundant number, since it is smaller than the sum of its proper divisors (7053748520).

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

4285525720 is a wasteful number, since it uses less digits than its factorization.

4285525720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

The square root of 4285525720 is about 65463.9268605237. The cubic root of 4285525720 is about 1624.3066984876.

The spelling of 4285525720 in words is "four billion, two hundred eighty-five million, five hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 83 122 140 166 244 280 305 332 415 427 488 581 610 664 830 854 1162 1220 1660 1708 2135 2324 2440 2905 3023 3320 3416 4270 4648 5063 5810 6046 8540 10126 11620 12092 15115 17080 20252 21161 23240 24184 25315 30230 35441 40504 42322 50630 60460 70882 84644 101260 105805 120920 141764 169288 177205 184403 202520 211610 250909 283528 354410 368806 423220 501818 708820 737612 846440 922015 1003636 1254545 1290821 1417640 1475224 1756363 1844030 2007272 2509090 2581642 3512726 3688060 5018180 5163284 6454105 7025452 7376120 8781815 10036360 10326568 12908210 14050904 15305449 17563630 25816420 30610898 35127260 51632840 61221796 70254520 76527245 107138143 122443592 153054490 214276286 306108980 428552572 535690715 612217960 857105144 1071381430 2142762860 4285525720