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248944384 = 28131931127
BaseRepresentation
bin11101101011010…
…01011100000000
3122100102200111101
432311221130000
51002212210014
640411424144
76111664243
oct1665513400
9570380441
10248944384
11118582667
126b455054
133c763090
14250c325a
1516cc6474
hexed69700

248944384 has 144 divisors (see below), whose sum is σ = 586055680. Its totient is φ = 104509440.

The previous prime is 248944361. The next prime is 248944411. The reversal of 248944384 is 483449842.

Its product of digits (884736) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1960129 + ... + 1960255.

Almost surely, 2248944384 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 248944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293027840).

248944384 is an abundant number, since it is smaller than the sum of its proper divisors (337111296).

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

248944384 is a wasteful number, since it uses less digits than its factorization.

248944384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 884736, while the sum is 46.

The square root of 248944384 is about 15777.9714792492. The cubic root of 248944384 is about 629.0726121664.

The spelling of 248944384 in words is "two hundred forty-eight million, nine hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 127 128 152 208 247 248 254 256 304 403 416 494 496 508 589 608 806 832 988 992 1016 1178 1216 1612 1651 1664 1976 1984 2032 2356 2413 2432 3224 3302 3328 3937 3952 3968 4064 4712 4826 4864 6448 6604 7657 7874 7904 7936 8128 9424 9652 12896 13208 15314 15748 15808 16256 18848 19304 25792 26416 30628 31369 31496 31616 32512 37696 38608 51181 51584 52832 61256 62738 62992 63232 74803 75392 77216 102362 103168 105664 122512 125476 125984 149606 150784 154432 204724 211328 245024 250952 251968 299212 308864 409448 422656 490048 501904 503936 598424 617728 818896 972439 980096 1003808 1007872 1196848 1637792 1944878 1960192 2007616 2393696 3275584 3889756 4015232 4787392 6551168 7779512 8030464 9574784 13102336 15559024 19149568 31118048 62236096 124472192 248944384