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4882240 = 265111973
BaseRepresentation
bin10010100111111101000000
3100012001011201
4102213331000
52222212430
6252350544
756332636
oct22477500
910161151
104882240
112835110
121775454
13101c2cc
14911356
156668ca
hex4a7f40

4882240 has 112 divisors (see below), whose sum is σ = 13533120. Its totient is φ = 1658880.

The previous prime is 4882217. The next prime is 4882271. The reversal of 4882240 is 422884.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4882199 and 4882208.

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, 66844 + ... + 66916.

Almost surely, 24882240 is an apocalyptic number.

4882240 is a gapful number since it is divisible by the number (40) 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 4882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766560).

4882240 is an abundant number, since it is smaller than the sum of its proper divisors (8650880).

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

4882240 is a wasteful number, since it uses less digits than its factorization.

4882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4882240 is about 2209.5791454483. The cubic root of 4882240 is about 169.6444703606.

The spelling of 4882240 in words is "four million, eight hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 73 76 80 88 95 110 146 152 160 176 190 209 220 292 304 320 352 365 380 418 440 584 608 704 730 760 803 836 880 1045 1168 1216 1387 1460 1520 1606 1672 1760 2090 2336 2774 2920 3040 3212 3344 3520 4015 4180 4672 5548 5840 6080 6424 6688 6935 8030 8360 11096 11680 12848 13376 13870 15257 16060 16720 22192 23360 25696 27740 30514 32120 33440 44384 51392 55480 61028 64240 66880 76285 88768 110960 122056 128480 152570 221920 244112 256960 305140 443840 488224 610280 976448 1220560 2441120 4882240