Search a number
-
+
2448121920 = 26357733299
BaseRepresentation
bin1001000111101011…
…0110000001000000
320022121120110221020
42101322312001000
520003204400140
61042531425440
7114444456456
oct22172660100
96277513836
102448121920
1110469a0262
12583a55280
1330026726a
141931c89d6
15e4dce6d0
hex91eb6040

2448121920 has 112 divisors (see below), whose sum is σ = 7785201600. Its totient is φ = 651790336.

The previous prime is 2448121901. The next prime is 2448121933. The reversal of 2448121920 is 291218442.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740431 + ... + 743729.

Almost surely, 22448121920 is an apocalyptic number.

2448121920 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 2448121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892600800).

2448121920 is an abundant number, since it is smaller than the sum of its proper divisors (5337079680).

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

2448121920 is a wasteful number, since it uses less digits than its factorization.

2448121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2448121920 is about 49478.4995730469. The cubic root of 2448121920 is about 1347.7551939162.

The spelling of 2448121920 in words is "two billion, four hundred forty-eight million, one hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 773 960 1546 2319 3092 3299 3865 4638 6184 6598 7730 9276 9897 11595 12368 13196 15460 16495 18552 19794 23190 24736 26392 30920 32990 37104 39588 46380 49472 49485 52784 61840 65980 74208 79176 92760 98970 105568 123680 131960 148416 158352 185520 197940 211136 247360 263920 316704 371040 395880 527840 633408 742080 791760 1055680 1583520 2550127 3167040 5100254 7650381 10200508 12750635 15300762 20401016 25501270 30601524 38251905 40802032 51002540 61203048 76503810 81604064 102005080 122406096 153007620 163208128 204010160 244812192 306015240 408020320 489624384 612030480 816040640 1224060960 2448121920