Search a number
-
+
21804048 = 2432797223
BaseRepresentation
bin101001100101…
…1010000010000
31112000202112100
41103023100100
521040212143
62055200400
7353221440
oct123132020
945022470
1021804048
1111342782
127376100
134695606
142c78120
151daa6d3
hex14cb410

21804048 has 120 divisors (see below), whose sum is σ = 70773248. Its totient is φ = 6137856.

The previous prime is 21804043. The next prime is 21804073. The reversal of 21804048 is 84040812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21804043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97665 + ... + 97887.

Almost surely, 221804048 is an apocalyptic number.

21804048 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 21804048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35386624).

21804048 is an abundant number, since it is smaller than the sum of its proper divisors (48969200).

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

21804048 is a wasteful number, since it uses less digits than its factorization.

21804048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21804048 is about 4669.4804850219. The cubic root of 21804048 is about 279.3695338480.

It can be divided in two parts, 2 and 1804048, that added together give a triangular number (1804050 = T1899).

The spelling of 21804048 in words is "twenty-one million, eight hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 223 252 291 336 388 446 504 582 669 679 776 873 892 1008 1164 1338 1358 1552 1561 1746 1784 2007 2037 2328 2676 2716 3122 3492 3568 4014 4074 4656 4683 5352 5432 6111 6244 6984 8028 8148 9366 10704 10864 12222 12488 13968 14049 16056 16296 18732 21631 24444 24976 28098 32112 32592 37464 43262 48888 56196 64893 74928 86524 97776 112392 129786 151417 173048 194679 224784 259572 302834 346096 389358 454251 519144 605668 778716 908502 1038288 1211336 1362753 1557432 1817004 2422672 2725506 3114864 3634008 5451012 7268016 10902024 21804048