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4471197952 = 281319312281
BaseRepresentation
bin1000010101000000…
…10001000100000000
3102112121100101112011
410022200101010000
533124111313302
62015401142304
7215541361354
oct41240210400
912477311464
104471197952
111994969221
12a4948a994
13563430b80
14305b6d464
151b27ee5d7
hex10a811100

4471197952 has 144 divisors (see below), whose sum is σ = 10448273920. Its totient is φ = 1891123200.

The previous prime is 4471197943. The next prime is 4471197959. The reversal of 4471197952 is 2597911744.

It is a super-3 number, since 3×44711979523 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4471197896 and 4471197905.

It is not an unprimeable number, because it can be changed into a prime (4471197959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959052 + ... + 1961332.

Almost surely, 24471197952 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 4471197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224136960).

4471197952 is an abundant number, since it is smaller than the sum of its proper divisors (5977075968).

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

4471197952 is a wasteful number, since it uses less digits than its factorization.

4471197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2346 counting only the distinct ones).

The product of its digits is 635040, while the sum is 49.

The square root of 4471197952 is about 66867.0169216483. The cubic root of 4471197952 is about 1647.4337766346.

The spelling of 4471197952 in words is "four billion, four hundred seventy-one million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 128 152 208 247 248 256 304 403 416 494 496 589 608 806 832 988 992 1178 1216 1612 1664 1976 1984 2281 2356 2432 3224 3328 3952 3968 4562 4712 4864 6448 7657 7904 7936 9124 9424 12896 15314 15808 18248 18848 25792 29653 30628 31616 36496 37696 43339 51584 59306 61256 63232 70711 72992 75392 86678 103168 118612 122512 141422 145984 150784 173356 237224 245024 282844 291968 346712 474448 490048 563407 565688 583936 693424 919243 948896 980096 1126814 1131376 1343509 1386848 1838486 1897792 1960192 2253628 2262752 2687018 2773696 3676972 3795584 4507256 4525504 5374036 5547392 7353944 7591168 9014512 9051008 10748072 11094784 14707888 17465617 18029024 18102016 21496144 29415776 34931234 36058048 42992288 58831552 69862468 72116096 85984576 117663104 139724936 144232192 171969152 235326208 279449872 343938304 558899744 1117799488 2235598976 4471197952