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8253474048 = 283310311593
BaseRepresentation
bin1111010111111001…
…00000010100000000
3210022012100220221000
413223330200110000
5113400342132143
63442552332000
7411346241361
oct75374402400
923265326830
108253474048
113555964236
1217240a4000
13a16c00b71
14584209b68
153348b8bd3
hex1ebf20500

8253474048 has 144 divisors (see below), whose sum is σ = 24646061440. Its totient is φ = 2724212736.

The previous prime is 8253474043. The next prime is 8253474067. The reversal of 8253474048 is 8404743528.

It is a happy number.

8253474048 is a `hidden beast` number, since 8 + 2 + 534 + 74 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82534740482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8253473994 and 8253474012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8253474043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706140 + ... + 717732.

Almost surely, 28253474048 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 8253474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323030720).

8253474048 is an abundant number, since it is smaller than the sum of its proper divisors (16392587392).

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

8253474048 is a wasteful number, since it uses less digits than its factorization.

8253474048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 8253474048 is about 90848.6326149161. The cubic root of 8253474048 is about 2020.9035960003.

The spelling of 8253474048 in words is "eight billion, two hundred fifty-three million, four hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 384 412 432 576 618 768 824 864 927 1152 1236 1648 1728 1854 2304 2472 2781 3296 3456 3708 4944 5562 6592 6912 7416 9888 11124 11593 13184 14832 19776 22248 23186 26368 29664 34779 39552 44496 46372 59328 69558 79104 88992 92744 104337 118656 139116 177984 185488 208674 237312 278232 313011 355968 370976 417348 556464 626022 711936 741952 834696 1112928 1194079 1252044 1483904 1669392 2225856 2388158 2504088 2967808 3338784 3582237 4451712 4776316 5008176 6677568 7164474 8903424 9552632 10016352 10746711 13355136 14328948 19105264 20032704 21493422 26710272 28657896 32240133 38210528 40065408 42986844 57315792 64480266 76421056 80130816 85973688 114631584 128960532 152842112 171947376 229263168 257921064 305684224 343894752 458526336 515842128 687789504 917052672 1031684256 1375579008 2063368512 2751158016 4126737024 8253474048