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5319528948 = 22323128116963
BaseRepresentation
bin1001111010001000…
…11001000111110100
3111201201122001212200
410331010121013310
541343244411243
62235503544500
7245552151516
oct47504310764
914651561780
105319528948
11228a80a918
1210455bb130
1366a106586
143866b9bb6
15212021ad3
hex13d1191f4

5319528948 has 72 divisors (see below), whose sum is σ = 13930565376. Its totient is φ = 1709769600.

The previous prime is 5319528931. The next prime is 5319528983. The reversal of 5319528948 is 8498259135.

5319528948 is a `hidden beast` number, since 5 + 319 + 5 + 289 + 48 = 666.

Its product of digits (3110400) is a multiple of the sum of its prime divisors (17280).

It is a junction number, because it is equal to n+sod(n) for n = 5319528894 and 5319528903.

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, 305115 + ... + 322077.

Almost surely, 25319528948 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 5319528948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965282688).

5319528948 is an abundant number, since it is smaller than the sum of its proper divisors (8611036428).

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

5319528948 is a wasteful number, since it uses less digits than its factorization.

5319528948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17285 (or 17280 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 5319528948 is about 72935.1009322672. The cubic root of 5319528948 is about 1745.6522218798.

The spelling of 5319528948 in words is "five billion, three hundred nineteen million, five hundred twenty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 281 372 558 562 843 1116 1124 1686 2529 3372 5058 8711 10116 16963 17422 26133 33926 34844 50889 52266 67852 78399 101778 104532 152667 156798 203556 305334 313596 525853 610668 1051706 1577559 2103412 3155118 4732677 4766603 6310236 9465354 9533206 14299809 18930708 19066412 28599618 42899427 57199236 85798854 147764693 171597708 295529386 443294079 591058772 886588158 1329882237 1773176316 2659764474 5319528948