Search a number
-
+
26019072 = 283223491
BaseRepresentation
bin110001101000…
…0010100000000
31210221220110100
41203100110000
523130102242
62325402400
7434105232
oct143202400
953856410
1026019072
1113761572
128869400
135510001
143654252
15243e54c
hex18d0500

26019072 has 108 divisors (see below), whose sum is σ = 78440544. Its totient is φ = 8279040.

The previous prime is 26019067. The next prime is 26019073. The reversal of 26019072 is 27091062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26019073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52747 + ... + 53237.

Almost surely, 226019072 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 26019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39220272).

26019072 is an abundant number, since it is smaller than the sum of its proper divisors (52421472).

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

26019072 is a wasteful number, since it uses less digits than its factorization.

26019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 26019072 is about 5100.8893342240. The cubic root of 26019072 is about 296.3220259632.

The spelling of 26019072 in words is "twenty-six million, nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 491 552 576 736 768 828 982 1104 1152 1472 1473 1656 1964 2208 2304 2944 2946 3312 3928 4416 4419 5888 5892 6624 7856 8832 8838 11293 11784 13248 15712 17664 17676 22586 23568 26496 31424 33879 35352 45172 47136 52992 62848 67758 70704 90344 94272 101637 125696 135516 141408 180688 188544 203274 271032 282816 361376 377088 406548 542064 565632 722752 813096 1084128 1131264 1445504 1626192 2168256 2891008 3252384 4336512 6504768 8673024 13009536 26019072