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2488344672 = 2531121712601
BaseRepresentation
bin1001010001010001…
…0010000001100000
320102102021000011210
42110110102001200
520044004012142
61050525510120
7115443403122
oct22424220140
96372230153
102488344672
111067673200
12595412340
133086ab2c8
14198699212
15e86c749c
hex94512060

2488344672 has 144 divisors (see below), whose sum is σ = 7602635376. Its totient is φ = 709632000.

The previous prime is 2488344643. The next prime is 2488344701. The reversal of 2488344672 is 2764438842.

It is an interprime number because it is at equal distance from previous prime (2488344643) and next prime (2488344701).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 191172 + ... + 203772.

It is an arithmetic number, because the mean of its divisors is an integer number (52796079).

Almost surely, 22488344672 is an apocalyptic number.

2488344672 is a gapful number since it is divisible by the number (22) 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 2488344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801317688).

2488344672 is an abundant number, since it is smaller than the sum of its proper divisors (5114290704).

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

2488344672 is a wasteful number, since it uses less digits than its factorization.

2488344672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12653 (or 12634 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 2488344672 is about 49883.3105557360. The cubic root of 2488344672 is about 1355.0963602083.

The spelling of 2488344672 in words is "two billion, four hundred eighty-eight million, three hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 121 132 136 176 187 204 242 264 272 352 363 374 408 484 528 544 561 726 748 816 968 1056 1122 1452 1496 1632 1936 2057 2244 2904 2992 3872 4114 4488 5808 5984 6171 8228 8976 11616 12342 12601 16456 17952 24684 25202 32912 37803 49368 50404 65824 75606 98736 100808 138611 151212 197472 201616 214217 277222 302424 403232 415833 428434 554444 604848 642651 831666 856868 1108888 1209696 1285302 1524721 1663332 1713736 2217776 2356387 2570604 3049442 3326664 3427472 4435552 4574163 4712774 5141208 6098884 6653328 6854944 7069161 9148326 9425548 10282416 12197768 13306656 14138322 18296652 18851096 20564832 24395536 25920257 28276644 36593304 37702192 48791072 51840514 56553288 73186608 75404384 77760771 103681028 113106576 146373216 155521542 207362056 226213152 311043084 414724112 622086168 829448224 1244172336 2488344672