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2525068248 = 2332373223281
BaseRepresentation
bin1001011010000001…
…0111101111011000
320111222100202110020
42112200113233120
520132404140443
61054320550440
7116400504003
oct22640275730
96458322406
102525068248
11108637616a
125a5782420
13313198731
1419d4d853a
15eba2d583
hex96817bd8

2525068248 has 128 divisors (see below), whose sum is σ = 6731182080. Its totient is φ = 787691520.

The previous prime is 2525068201. The next prime is 2525068277. The reversal of 2525068248 is 8428605252.

2525068248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8985868 + ... + 8986148.

It is an arithmetic number, because the mean of its divisors is an integer number (52587360).

Almost surely, 22525068248 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 2525068248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365591040).

2525068248 is an abundant number, since it is smaller than the sum of its proper divisors (4206113832).

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

2525068248 is a wasteful number, since it uses less digits than its factorization.

2525068248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 2525068248 is about 50250.0571939973. The cubic root of 2525068248 is about 1361.7301092573.

The spelling of 2525068248 in words is "two billion, five hundred twenty-five million, sixty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 73 92 138 146 184 219 223 276 281 292 438 446 552 562 584 669 843 876 892 1124 1338 1679 1686 1752 1784 2248 2676 3358 3372 5037 5129 5352 6463 6716 6744 10074 10258 12926 13432 15387 16279 19389 20148 20513 20516 25852 30774 32558 38778 40296 41026 41032 48837 51704 61539 61548 62663 65116 77556 82052 97674 123078 123096 125326 130232 155112 164104 187989 195348 246156 250652 374417 375978 390696 471799 492312 501304 748834 751956 943598 1123251 1415397 1441249 1497668 1503912 1887196 2246502 2830794 2882498 2995336 3774392 4323747 4493004 4574399 5661588 5764996 8647494 8986008 9148798 11323176 11529992 13723197 17294988 18297596 27446394 34589976 36595192 54892788 105211177 109785576 210422354 315633531 420844708 631267062 841689416 1262534124 2525068248