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48627384 = 23313219631
BaseRepresentation
bin1011100101111…
…1111010111000
310101111112020020
42321133322320
544422034014
64454130440
71130216541
oct271377270
9111445206
1048627384
11254a3523
1214350a20
13a0c7700
14665b4c8
1544081a9
hex2e5feb8

48627384 has 96 divisors (see below), whose sum is σ = 138787200. Its totient is φ = 14152320.

The previous prime is 48627373. The next prime is 48627389. The reversal of 48627384 is 48372684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48627389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76749 + ... + 77379.

It is an arithmetic number, because the mean of its divisors is an integer number (1445700).

Almost surely, 248627384 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 48627384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69393600).

48627384 is an abundant number, since it is smaller than the sum of its proper divisors (90159816).

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

48627384 is a wasteful number, since it uses less digits than its factorization.

48627384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 48627384 is about 6973.3337794774. Note that the first 3 decimals coincide. The cubic root of 48627384 is about 365.0006480254. Note that the first 3 decimals are identical.

It can be divided in two parts, 4862 and 7384, that added together give a triangular number (12246 = T156).

The spelling of 48627384 in words is "forty-eight million, six hundred twenty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 312 338 456 494 507 631 676 741 988 1014 1262 1352 1482 1893 1976 2028 2524 2964 3211 3786 4056 5048 5928 6422 7572 8203 9633 11989 12844 15144 16406 19266 23978 24609 25688 32812 35967 38532 47956 49218 65624 71934 77064 95912 98436 106639 143868 155857 196872 213278 287736 311714 319917 426556 467571 623428 639834 853112 935142 1246856 1279668 1870284 2026141 2559336 3740568 4052282 6078423 8104564 12156846 16209128 24313692 48627384