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4855225584 = 2431147972017
BaseRepresentation
bin1001000010110010…
…01101110011110000
3110112100222000101210
410201121031303300
534420414204314
62121440200120
7231213510426
oct44131156360
913470860353
104855225584
112071714930
12b36009040
135c4b6c361
14340b77116
151d63aa559
hex12164dcf0

4855225584 has 160 divisors (see below), whose sum is σ = 14125095936. Its totient is φ = 1424424960.

The previous prime is 4855225577. The next prime is 4855225603.

4855225584 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2406144 + ... + 2408160.

Almost surely, 24855225584 is an apocalyptic number.

4855225584 is a gapful number since it is divisible by the number (44) 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 4855225584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062547968).

4855225584 is an abundant number, since it is smaller than the sum of its proper divisors (9269870352).

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

4855225584 is a wasteful number, since it uses less digits than its factorization.

4855225584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 48.

The square root of 4855225584 is about 69679.4487923089. The cubic root of 4855225584 is about 1693.3099915493.

The spelling of 4855225584 in words is "four billion, eight hundred fifty-five million, two hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 97 132 141 176 188 194 264 282 291 376 388 517 528 564 582 752 776 1034 1067 1128 1164 1551 1552 2017 2068 2134 2256 2328 3102 3201 4034 4136 4268 4559 4656 6051 6204 6402 8068 8272 8536 9118 12102 12408 12804 13677 16136 17072 18236 22187 24204 24816 25608 27354 32272 36472 44374 48408 50149 51216 54708 66561 72944 88748 94799 96816 100298 109416 133122 150447 177496 189598 195649 200596 218832 266244 284397 300894 354992 379196 391298 401192 532488 568794 586947 601788 758392 782596 802384 1042789 1064976 1137588 1173894 1203576 1516784 1565192 2085578 2152139 2275176 2347788 2407152 3128367 3130384 4171156 4304278 4550352 4695576 6256734 6456417 8342312 8608556 9195503 9391152 12513468 12912834 16684624 17217112 18391006 25026936 25825668 27586509 34434224 36782012 50053872 51651336 55173018 73564024 101150533 103302672 110346036 147128048 202301066 220692072 303451599 404602132 441384144 606903198 809204264 1213806396 1618408528 2427612792 4855225584