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21449376 = 25321317337
BaseRepresentation
bin101000111010…
…0101010100000
31111100202000100
41101310222200
520442340001
62043422400
7350213424
oct121645240
944322010
1021449376
1111120263
127224a00
1345a0050
142bc4b84
151d3a586
hex1474aa0

21449376 has 144 divisors (see below), whose sum is σ = 69759144. Its totient is φ = 6193152.

The previous prime is 21449353. The next prime is 21449387. The reversal of 21449376 is 67394412.

It can be written as a sum of positive squares in 4 ways, for example, as 15397776 + 6051600 = 3924^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21449376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63480 + ... + 63816.

Almost surely, 221449376 is an apocalyptic number.

21449376 is a gapful number since it is divisible by the number (26) 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 21449376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34879572).

21449376 is an abundant number, since it is smaller than the sum of its proper divisors (48309768).

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

21449376 is a wasteful number, since it uses less digits than its factorization.

21449376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 21449376 is about 4631.3471042452. The cubic root of 21449376 is about 277.8464725155.

The spelling of 21449376 in words is "twenty-one million, four hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 337 408 416 442 468 544 612 624 663 674 816 884 936 1011 1224 1248 1326 1348 1632 1768 1872 1989 2022 2448 2652 2696 3033 3536 3744 3978 4044 4381 4896 5304 5392 5729 6066 7072 7956 8088 8762 10608 10784 11458 12132 13143 15912 16176 17187 17524 21216 22916 24264 26286 31824 32352 34374 35048 39429 45832 48528 51561 52572 63648 68748 70096 74477 78858 91664 97056 103122 105144 137496 140192 148954 157716 183328 206244 210288 223431 274992 297908 315432 412488 420576 446862 549984 595816 630864 670293 824976 893724 1191632 1261728 1340586 1649952 1787448 2383264 2681172 3574896 5362344 7149792 10724688 21449376