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2482374048 = 253711230529
BaseRepresentation
bin1001001111110110…
…0000010110100000
320102000000200000120
42103331200112200
520040441432143
61050153520240
7115341555060
oct22375402640
96360020016
102482374048
111064265400
12593413080
1330739a7ab
141979833a0
15e7de8383
hex93f605a0

2482374048 has 144 divisors (see below), whose sum is σ = 8185947840. Its totient is φ = 644751360.

The previous prime is 2482374029. The next prime is 2482374079. The reversal of 2482374048 is 8404732842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66048 + ... + 96576.

It is an arithmetic number, because the mean of its divisors is an integer number (56846860).

Almost surely, 22482374048 is an apocalyptic number.

2482374048 is a gapful number since it is divisible by the number (28) 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 2482374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092973920).

2482374048 is an abundant number, since it is smaller than the sum of its proper divisors (5703573792).

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

2482374048 is a wasteful number, since it uses less digits than its factorization.

2482374048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30571 (or 30552 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 2482374048 is about 49823.4287057806. The cubic root of 2482374048 is about 1354.0116698279.

The spelling of 2482374048 in words is "two billion, four hundred eighty-two million, three hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2464 2541 2904 3388 3696 3872 5082 5808 6776 7392 10164 11616 13552 20328 27104 30529 40656 61058 81312 91587 122116 183174 213703 244232 335819 366348 427406 488464 641109 671638 732696 854812 976928 1007457 1282218 1343276 1465392 1709624 2014914 2350733 2564436 2686552 2930784 3419248 3694009 4029828 4701466 5128872 5373104 6838496 7052199 7388018 8059656 9402932 10257744 10746208 11082027 14104398 14776036 16119312 18805864 20515488 22164054 25858063 28208796 29552072 32238624 37611728 44328108 51716126 56417592 59104144 75223456 77574189 88656216 103432252 112835184 118208288 155148378 177312432 206864504 225670368 310296756 354624864 413729008 620593512 827458016 1241187024 2482374048