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21869952 = 273132337
BaseRepresentation
bin101001101101…
…1010110000000
31112011002221020
41103123112000
521044314302
62100425440
7353614536
oct123332600
945132836
1021869952
1111388245
1273a8280
1346b9600
142c94156
151dbeebc
hex14db580

21869952 has 96 divisors (see below), whose sum is σ = 63091080. Its totient is φ = 6709248.

The previous prime is 21869951. The next prime is 21869959. The reversal of 21869952 is 25996812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21869951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64728 + ... + 65064.

Almost surely, 221869952 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 21869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31545540).

21869952 is an abundant number, since it is smaller than the sum of its proper divisors (41221128).

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

21869952 is a wasteful number, since it uses less digits than its factorization.

21869952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 355 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 21869952 is about 4676.5320484308. The cubic root of 21869952 is about 279.6507209443.

The spelling of 21869952 in words is "twenty-one million, eight hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 337 338 384 416 507 624 674 676 832 1011 1014 1248 1348 1352 1664 2022 2028 2496 2696 2704 4044 4056 4381 4992 5392 5408 8088 8112 8762 10784 10816 13143 16176 16224 17524 21568 21632 26286 32352 32448 35048 43136 52572 56953 64704 64896 70096 105144 113906 129408 140192 170859 210288 227812 280384 341718 420576 455624 560768 683436 841152 911248 1366872 1682304 1822496 2733744 3644992 5467488 7289984 10934976 21869952