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48668424 = 23371979193
BaseRepresentation
bin1011100110100…
…1111100001000
310101120121112020
42321221330020
544424342144
64455044440
71130450310
oct271517410
9111517466
1048668424
1125521342
1214370720
13a1102ac
14666c440
154415419
hex2e69f08

48668424 has 128 divisors (see below), whose sum is σ = 148992000. Its totient is φ = 12939264.

The previous prime is 48668401. The next prime is 48668429. The reversal of 48668424 is 42486684.

48668424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48668429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 252072 + ... + 252264.

It is an arithmetic number, because the mean of its divisors is an integer number (1164000).

Almost surely, 248668424 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 48668424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74496000).

48668424 is an abundant number, since it is smaller than the sum of its proper divisors (100323576).

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

48668424 is a wasteful number, since it uses less digits than its factorization.

48668424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 48668424 is about 6976.2757973004. The cubic root of 48668424 is about 365.1033022175.

The spelling of 48668424 in words is "forty-eight million, six hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 79 84 114 133 152 158 168 193 228 237 266 316 386 399 456 474 532 553 579 632 772 798 948 1064 1106 1158 1351 1501 1544 1596 1659 1896 2212 2316 2702 3002 3192 3318 3667 4053 4424 4503 4632 5404 6004 6636 7334 8106 9006 10507 10808 11001 12008 13272 14668 15247 16212 18012 21014 22002 25669 29336 30494 31521 32424 36024 42028 44004 45741 51338 60988 63042 77007 84056 88008 91482 102676 106729 121976 126084 154014 182964 205352 213458 252168 289693 308028 320187 365928 426916 579386 616056 640374 853832 869079 1158772 1280748 1738158 2027851 2317544 2561496 3476316 4055702 6083553 6952632 8111404 12167106 16222808 24334212 48668424