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5407815852 = 2233191317827
BaseRepresentation
bin1010000100101010…
…01011100010101100
3111221212202111202000
411002111023202230
542033400101402
62252340132300
7251003450655
oct50225134254
914855674660
105407815852
1123256310aa
12106b097090
136824a884a
143942dc52c
15219b60c1c
hex14254b8ac

5407815852 has 96 divisors (see below), whose sum is σ = 14155223040. Its totient is φ = 1785349440.

The previous prime is 5407815851. The next prime is 5407815857. The reversal of 5407815852 is 2585187045.

5407815852 is a `hidden beast` number, since 540 + 7 + 8 + 1 + 58 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5407815798 and 5407815807.

It is not an unprimeable number, because it can be changed into a prime (5407815851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6538663 + ... + 6539489.

It is an arithmetic number, because the mean of its divisors is an integer number (147450240).

Almost surely, 25407815852 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 5407815852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077611520).

5407815852 is an abundant number, since it is smaller than the sum of its proper divisors (8747407188).

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

5407815852 is a wasteful number, since it uses less digits than its factorization.

5407815852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 5407815852 is about 73537.8531914007. The cubic root of 5407815852 is about 1755.2566678445.

The spelling of 5407815852 in words is "five billion, four hundred seven million, eight hundred fifteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 317 382 573 634 764 827 951 1146 1268 1654 1719 1902 2292 2481 2853 3308 3438 3804 4962 5157 5706 6876 7443 8559 9924 10314 11412 14886 17118 20628 22329 29772 34236 44658 60547 89316 121094 157957 181641 242188 262159 315914 363282 473871 524318 544923 631828 726564 786477 947742 1048636 1089846 1421613 1572954 1634769 1895484 2179692 2359431 2843226 3145908 3269538 4264839 4718862 5686452 6539076 7078293 8529678 9437724 14156586 17059356 28313172 50072369 100144738 150217107 200289476 300434214 450651321 600868428 901302642 1351953963 1802605284 2703907926 5407815852