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5031505728 = 26337339887
BaseRepresentation
bin1001010111110011…
…01010111101000000
3110222122122222022000
410223321222331000
540301031140403
62151134344000
7235454043624
oct45371527500
913878588260
105031505728
1121521767a7
12b8505b000
13622540032
1435a343184
151e6acb7a3
hex12be6af40

5031505728 has 112 divisors (see below), whose sum is σ = 14994696960. Its totient is φ = 1654152192.

The previous prime is 5031505709. The next prime is 5031505757. The reversal of 5031505728 is 8275051305.

5031505728 is a `hidden beast` number, since 5 + 0 + 31 + 50 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5031505692 and 5031505701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106201 + ... + 146087.

Almost surely, 25031505728 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 5031505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497348480).

5031505728 is an abundant number, since it is smaller than the sum of its proper divisors (9963191232).

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

5031505728 is a wasteful number, since it uses less digits than its factorization.

5031505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39981 (or 39965 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5031505728 is about 70933.1074181866. The cubic root of 5031505728 is about 1713.5600317083.

The spelling of 5031505728 in words is "five billion, thirty-one million, five hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1971 2336 2628 3504 3942 4672 5256 7008 7884 10512 14016 15768 21024 31536 39887 42048 63072 79774 119661 126144 159548 239322 319096 358983 478644 638192 717966 957288 1076949 1276384 1435932 1914576 2153898 2552768 2871864 2911751 3829152 4307796 5743728 5823502 7658304 8615592 8735253 11487456 11647004 17231184 17470506 22974912 23294008 26205759 34462368 34941012 46588016 52411518 68924736 69882024 78617277 93176032 104823036 139764048 157234554 186352064 209646072 279528096 314469108 419292144 559056192 628938216 838584288 1257876432 1677168576 2515752864 5031505728