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4717004952 = 2331129111783
BaseRepresentation
bin1000110010010011…
…11100100010011000
3110011201212200100010
410121021330202120
534130023124302
62100021441520
7224614611012
oct43111744230
913151780303
104717004952
112000698700
12ab78702a0
135a2335bba
1432a6771b2
151c91a616c
hex11927c898

4717004952 has 96 divisors (see below), whose sum is σ = 12983523840. Its totient is φ = 1427025600.

The previous prime is 4717004939. The next prime is 4717004989. The reversal of 4717004952 is 2594007174.

It is a self number, because there is not a number n which added to its sum of digits gives 4717004952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2644653 + ... + 2646435.

It is an arithmetic number, because the mean of its divisors is an integer number (135245040).

Almost surely, 24717004952 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 4717004952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491761920).

4717004952 is an abundant number, since it is smaller than the sum of its proper divisors (8266518888).

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

4717004952 is a wasteful number, since it uses less digits than its factorization.

4717004952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 4717004952 is about 68680.4553857937. The cubic root of 4717004952 is about 1677.0864267564.

The spelling of 4717004952 in words is "four billion, seven hundred seventeen million, four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 911 968 1452 1783 1822 2733 2904 3566 3644 5349 5466 7132 7288 10021 10698 10932 14264 19613 20042 21396 21864 30063 39226 40084 42792 58839 60126 78452 80168 110231 117678 120252 156904 215743 220462 235356 240504 330693 431486 440924 470712 647229 661386 862972 881848 1294458 1322772 1624313 1725944 2588916 2645544 3248626 4872939 5177832 6497252 9745878 12994504 17867443 19491756 35734886 38983512 53602329 71469772 107204658 142939544 196541873 214409316 393083746 428818632 589625619 786167492 1179251238 1572334984 2358502476 4717004952