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48399384 = 23311199649
BaseRepresentation
bin1011100010100…
…0010000011000
310101001221110210
42320220100120
544342240014
64445211120
71125250035
oct270502030
9111057423
1048399384
11253581a0
1214260aa0
13a0479b7
1465dc38c
1543b0859
hex2e28418

48399384 has 64 divisors (see below), whose sum is σ = 138960000. Its totient is φ = 13893120.

The previous prime is 48399371. The next prime is 48399389.

48399384 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48399389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 9840.

It is an arithmetic number, because the mean of its divisors is an integer number (2171250).

Almost surely, 248399384 is an apocalyptic number.

48399384 is a gapful number since it is divisible by the number (44) 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 48399384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69480000).

48399384 is an abundant number, since it is smaller than the sum of its proper divisors (90560616).

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

48399384 is a wasteful number, since it uses less digits than its factorization.

48399384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9684 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 48399384 is about 6956.9665803423. The cubic root of 48399384 is about 364.4292926424.

The spelling of 48399384 in words is "forty-eight million, three hundred ninety-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 9649 19298 28947 38596 57894 77192 106139 115788 183331 212278 231576 318417 366662 424556 549993 636834 733324 849112 1099986 1273668 1466648 2016641 2199972 2547336 4033282 4399944 6049923 8066564 12099846 16133128 24199692 48399384