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48423984 = 2437314649
BaseRepresentation
bin1011100010111…
…0010000110000
310101010012012220
42320232100300
544344031414
64445521040
71125411540
oct270562060
9111105186
1048423984
1125374724
1214273180
13a055c5b
146607320
1543b7ca9
hex2e2e430

48423984 has 80 divisors (see below), whose sum is σ = 147609600. Its totient is φ = 13386240.

The previous prime is 48423971. The next prime is 48424001. The reversal of 48423984 is 48932484.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8092 + ... + 12740.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 248423984 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 48423984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73804800).

48423984 is an abundant number, since it is smaller than the sum of its proper divisors (99185616).

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

48423984 is a wasteful number, since it uses less digits than its factorization.

48423984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4692 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 48423984 is about 6958.7343676850. The cubic root of 48423984 is about 364.4910251233.

The spelling of 48423984 in words is "forty-eight million, four hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 4649 5208 9298 10416 13947 18596 27894 32543 37192 55788 65086 74384 97629 111576 130172 144119 195258 223152 260344 288238 390516 432357 520688 576476 781032 864714 1008833 1152952 1562064 1729428 2017666 2305904 3026499 3458856 4035332 6052998 6917712 8070664 12105996 16141328 24211992 48423984