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21426048 = 273272657
BaseRepresentation
bin101000110111…
…0111110000000
31111022120000100
41101232332000
520441113143
62043122400
7350055420
oct121567600
944276010
1021426048
1111104786
127213400
134592547
142bba480
151d336d3
hex146ef80

21426048 has 96 divisors (see below), whose sum is σ = 70490160. Its totient is φ = 6119424.

The previous prime is 21426047. The next prime is 21426049. The reversal of 21426048 is 84062412.

It is an interprime number because it is at equal distance from previous prime (21426047) and next prime (21426049).

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 (21426047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6736 + ... + 9392.

Almost surely, 221426048 is an apocalyptic number.

21426048 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 21426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35245080).

21426048 is an abundant number, since it is smaller than the sum of its proper divisors (49064112).

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

21426048 is a wasteful number, since it uses less digits than its factorization.

21426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 21426048 is about 4628.8279294007. The cubic root of 21426048 is about 277.7457088430.

It can be divided in two parts, 214 and 26048, that added together give a palindrome (26262).

The spelling of 21426048 in words is "twenty-one million, four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2657 2688 4032 5314 7971 8064 10628 15942 18599 21256 23913 31884 37198 42512 47826 55797 63768 74396 85024 95652 111594 127536 148792 167391 170048 191304 223188 255072 297584 334782 340096 382608 446376 510144 595168 669564 765216 892752 1020288 1190336 1339128 1530432 1785504 2380672 2678256 3060864 3571008 5356512 7142016 10713024 21426048