Search a number
-
+
2450251080 = 233359412411
BaseRepresentation
bin1001001000001011…
…1101110101001000
320022202120122121000
42102002331311020
520004231013310
61043045215000
7114501535104
oct22202756510
96282518530
102450251080
1110481149a2
12584701460
13300831414
141935c0904
15e51a04c0
hex920bdd48

2450251080 has 128 divisors (see below), whose sum is σ = 8179574400. Its totient is φ = 652435200.

The previous prime is 2450251009. The next prime is 2450251087. The reversal of 2450251080 is 801520542.

It is a happy number.

2450251080 is a `hidden beast` number, since 24 + 50 + 2 + 510 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2450251087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015075 + ... + 1017485.

It is an arithmetic number, because the mean of its divisors is an integer number (63902925).

Almost surely, 22450251080 is an apocalyptic number.

2450251080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2450251080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089787200).

2450251080 is an abundant number, since it is smaller than the sum of its proper divisors (5729323320).

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

2450251080 is a wasteful number, since it uses less digits than its factorization.

2450251080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2450251080 is about 49500.0109090897. The cubic root of 2450251080 is about 1348.1458001360.

The spelling of 2450251080 in words is "two billion, four hundred fifty million, two hundred fifty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 941 1080 1882 2411 2823 3764 4705 4822 5646 7233 7528 8469 9410 9644 11292 12055 14115 14466 16938 18820 19288 21699 22584 24110 25407 28230 28932 33876 36165 37640 42345 43398 48220 50814 56460 57864 65097 67752 72330 84690 86796 96440 101628 108495 112920 127035 130194 144660 169380 173592 203256 216990 254070 260388 289320 325485 338760 433980 508140 520776 650970 867960 1016280 1301940 2268751 2603880 4537502 6806253 9075004 11343755 13612506 18150008 20418759 22687510 27225012 34031265 40837518 45375020 54450024 61256277 68062530 81675036 90750040 102093795 122512554 136125060 163350072 204187590 245025108 272250120 306281385 408375180 490050216 612562770 816750360 1225125540 2450251080