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5247351936 = 27331937867
BaseRepresentation
bin1001110001100010…
…00011110010000000
3111112200211002122000
410320301003302000
541221310230221
62224404544000
7244014520101
oct47061036200
914480732560
105247351936
112252aa21a2
1210253b2000
13658184b98
1437ac8c3a8
1520aa15e26
hex138c43c80

5247351936 has 128 divisors (see below), whose sum is σ = 15569198400. Its totient is φ = 1739833344.

The previous prime is 5247351917. The next prime is 5247352009. The reversal of 5247351936 is 6391537425.

5247351936 is a `hidden beast` number, since 524 + 7 + 35 + 1 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5247351891 and 5247351900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663075 + ... + 670941.

Almost surely, 25247351936 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 5247351936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784599200).

5247351936 is an abundant number, since it is smaller than the sum of its proper divisors (10321846464).

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

5247351936 is a wasteful number, since it uses less digits than its factorization.

5247351936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8083 (or 8065 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 5247351936 is about 72438.6080484709. The cubic root of 5247351936 is about 1737.7210592985.

The spelling of 5247351936 in words is "five billion, two hundred forty-seven million, three hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 193 216 288 384 386 432 576 579 772 864 1152 1158 1544 1728 1737 2316 3088 3456 3474 4632 5211 6176 6948 7867 9264 10422 12352 13896 15734 18528 20844 23601 24704 27792 31468 37056 41688 47202 55584 62936 70803 74112 83376 94404 111168 125872 141606 166752 188808 212409 222336 251744 283212 333504 377616 424818 503488 566424 667008 755232 849636 1006976 1132848 1510464 1518331 1699272 2265696 3020928 3036662 3398544 4531392 4554993 6073324 6797088 9062784 9109986 12146648 13594176 13664979 18219972 24293296 27188352 27329958 36439944 40994937 48586592 54659916 72879888 81989874 97173184 109319832 145759776 163979748 194346368 218639664 291519552 327959496 437279328 583039104 655918992 874558656 1311837984 1749117312 2623675968 5247351936