[go: up one dir, main page]

Search a number
-
+
12488448 = 283723101
BaseRepresentation
bin101111101000…
…111100000000
3212111110221010
4233220330000
511144112243
61123400520
7211102320
oct57507400
925443833
1012488448
11705a835
124223140
13278341b
141931280
15116a433
hexbe8f00

12488448 has 144 divisors (see below), whose sum is σ = 40029696. Its totient is φ = 3379200.

The previous prime is 12488431. The next prime is 12488461. The reversal of 12488448 is 84488421.

It is a super-2 number, since 2×124884482 = 311922666897408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123598 + ... + 123698.

It is an arithmetic number, because the mean of its divisors is an integer number (277984).

Almost surely, 212488448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014848).

12488448 is an abundant number, since it is smaller than the sum of its proper divisors (27541248).

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

12488448 is a wasteful number, since it uses less digits than its factorization.

12488448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 12488448 is about 3533.8998288010. The cubic root of 12488448 is about 232.0079268001.

The spelling of 12488448 in words is "twelve million, four hundred eighty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 101 112 128 138 161 168 184 192 202 224 256 276 303 322 336 368 384 404 448 483 552 606 644 672 707 736 768 808 896 966 1104 1212 1288 1344 1414 1472 1616 1792 1932 2121 2208 2323 2424 2576 2688 2828 2944 3232 3864 4242 4416 4646 4848 5152 5376 5656 5888 6464 6969 7728 8484 8832 9292 9696 10304 11312 12928 13938 15456 16261 16968 17664 18584 19392 20608 22624 25856 27876 30912 32522 33936 37168 38784 41216 45248 48783 55752 61824 65044 67872 74336 77568 90496 97566 111504 123648 130088 135744 148672 180992 195132 223008 260176 271488 297344 390264 446016 520352 542976 594688 780528 892032 1040704 1561056 1784064 2081408 3122112 4162816 6244224 12488448