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26220672 = 2736281
BaseRepresentation
bin110010000000…
…1100010000000
31211100011000000
41210001202000
523203030142
62334000000
7435605052
oct144014200
954304000
1026220672
1113889a85
128946000
1355809ba
1436a78d2
15247e14c
hex1901880

26220672 has 112 divisors (see below), whose sum is σ = 78597630. Its totient is φ = 8709120.

The previous prime is 26220661. The next prime is 26220673. The reversal of 26220672 is 27602262.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 5645376 = 4536^2 + 2376^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26220673) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93172 + ... + 93452.

Almost surely, 226220672 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 26220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39298815).

26220672 is an abundant number, since it is smaller than the sum of its proper divisors (52376958).

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

26220672 is an frugal number, since it uses more digits than its factorization.

26220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26220672 is about 5120.6124633680. The cubic root of 26220672 is about 297.0853749050.

The spelling of 26220672 in words is "twenty-six million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 281 288 324 384 432 486 562 576 648 729 843 864 972 1124 1152 1296 1458 1686 1728 1944 2248 2529 2592 2916 3372 3456 3888 4496 5058 5184 5832 6744 7587 7776 8992 10116 10368 11664 13488 15174 15552 17984 20232 22761 23328 26976 30348 31104 35968 40464 45522 46656 53952 60696 68283 80928 91044 93312 107904 121392 136566 161856 182088 204849 242784 273132 323712 364176 409698 485568 546264 728352 819396 971136 1092528 1456704 1638792 2185056 2913408 3277584 4370112 6555168 8740224 13110336 26220672