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48847968 = 2533134349
BaseRepresentation
bin1011101001010…
…1110001100000
310101220201211000
42322111301200
5100001113333
64502552000
71132125621
oct272256140
9111821730
1048847968
1125634224
1214438600
13a173c30
1466b7a48
15444d713
hex2e95c60

48847968 has 96 divisors (see below), whose sum is σ = 153468000. Its totient is φ = 15026688.

The previous prime is 48847963. The next prime is 48847999. The reversal of 48847968 is 86974884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×488479682 = 4772247955458048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48847963) 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, 9058 + ... + 13406.

It is an arithmetic number, because the mean of its divisors is an integer number (1598625).

Almost surely, 248847968 is an apocalyptic number.

48847968 is a gapful number since it is divisible by the number (48) 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 48847968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76734000).

48847968 is an abundant number, since it is smaller than the sum of its proper divisors (104620032).

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

48847968 is a wasteful number, since it uses less digits than its factorization.

48847968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4367 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 48847968 is about 6989.1321349650. The cubic root of 48847968 is about 365.5517220669.

The spelling of 48847968 in words is "forty-eight million, eight hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 4349 5616 8698 11232 13047 17396 26094 34792 39141 52188 56537 69584 78282 104376 113074 117423 139168 156564 169611 208752 226148 234846 313128 339222 417504 452296 469692 508833 626256 678444 904592 939384 1017666 1252512 1356888 1526499 1809184 1878768 2035332 2713776 3052998 3757536 4070664 5427552 6105996 8141328 12211992 16282656 24423984 48847968