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2148020448 = 253721726861
BaseRepresentation
bin1000000000001000…
…0011000011100000
312112200212202002220
42000002003003200
513344343123243
6553051311040
7104141605200
oct20002030340
95480782086
102148020448
11a02557612
124bb44b480
13283032222
141653ca400
15c88a0783
hex800830e0

2148020448 has 144 divisors (see below), whose sum is σ = 6945223824. Its totient is φ = 577597440.

The previous prime is 2148020437. The next prime is 2148020449. The reversal of 2148020448 is 8440208412.

It is a super-2 number, since 2×21480204482 = 9227983690052241408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148020449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66538 + ... + 93398.

It is an arithmetic number, because the mean of its divisors is an integer number (48230721).

Almost surely, 22148020448 is an apocalyptic number.

2148020448 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 2148020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472611912).

2148020448 is an abundant number, since it is smaller than the sum of its proper divisors (4797203376).

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

2148020448 is a wasteful number, since it uses less digits than its factorization.

2148020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26905 (or 26890 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2148020448 is about 46346.7415035836. The cubic root of 2148020448 is about 1290.2666451987.

The spelling of 2148020448 in words is "two billion, one hundred forty-eight million, twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2856 3332 3808 4704 4998 5712 6664 9996 11424 13328 19992 26656 26861 39984 53722 79968 80583 107444 161166 188027 214888 322332 376054 429776 456637 564081 644664 752108 859552 913274 1128162 1289328 1316189 1369911 1504216 1826548 2256324 2578656 2632378 2739822 3008432 3196459 3653096 3948567 4512648 5264756 5479644 6016864 6392918 7306192 7897134 9025296 9589377 10529512 10959288 12785836 14612384 15794268 18050592 19178754 21059024 21918576 22375213 25571672 31588536 38357508 42118048 43837152 44750426 51143344 63177072 67125639 76715016 89500852 102286688 126354144 134251278 153430032 179001704 268502556 306860064 358003408 537005112 716006816 1074010224 2148020448