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21423948 = 22371323853
BaseRepresentation
bin101000110111…
…0011101001100
31111022110010120
41101232131030
520441031243
62043104540
7350046330
oct121563514
944273116
1021423948
1111103147
127212150
1345915c0
142bb97c0
151d32c83
hex146e74c

21423948 has 96 divisors (see below), whose sum is σ = 64275456. Its totient is φ = 5398272.

The previous prime is 21423917. The next prime is 21423959. The reversal of 21423948 is 84932412.

It is a super-3 number, since 3×214239483 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

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, 24690 + ... + 25542.

It is an arithmetic number, because the mean of its divisors is an integer number (669536).

Almost surely, 221423948 is an apocalyptic number.

21423948 is a gapful number since it is divisible by the number (28) 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 21423948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32137728).

21423948 is an abundant number, since it is smaller than the sum of its proper divisors (42851508).

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

21423948 is a wasteful number, since it uses less digits than its factorization.

21423948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 21423948 is about 4628.6010845611. The cubic root of 21423948 is about 277.7366344515.

The spelling of 21423948 in words is "twenty-one million, four hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 853 897 966 1092 1196 1706 1794 1932 2093 2559 3412 3588 4186 5118 5971 6279 8372 10236 11089 11942 12558 17913 19619 22178 23884 25116 33267 35826 39238 44356 58857 66534 71652 77623 78476 117714 133068 137333 155246 232869 235428 255047 274666 310492 411999 465738 510094 549332 765141 823998 931476 1020188 1530282 1647996 1785329 3060564 3570658 5355987 7141316 10711974 21423948