Search a number
-
+
26215776 = 2532227401
BaseRepresentation
bin110010000000…
…0010101100000
31211022220021200
41210000111200
523202401101
62333521200
7435554556
oct144002540
954286250
1026215776
1113886334
128943200
13557b6c2
1436a5bd6
15247c986
hex1900560

26215776 has 72 divisors (see below), whose sum is σ = 75066264. Its totient is φ = 8678400.

The previous prime is 26215771. The next prime is 26215781. The reversal of 26215776 is 67751262.

It is an interprime number because it is at equal distance from previous prime (26215771) and next prime (26215781).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×262157762 = 1374533822564352, which contains 22 as substring.

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 26215776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26215771) 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, 65176 + ... + 65576.

It is an arithmetic number, because the mean of its divisors is an integer number (1042587).

Almost surely, 226215776 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 26215776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37533132).

26215776 is an abundant number, since it is smaller than the sum of its proper divisors (48850488).

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

26215776 is a wasteful number, since it uses less digits than its factorization.

26215776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 26215776 is about 5120.1343732367. The cubic root of 26215776 is about 297.0668828728.

The spelling of 26215776 in words is "twenty-six million, two hundred fifteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 401 454 681 802 908 1203 1362 1604 1816 2043 2406 2724 3208 3609 3632 4086 4812 5448 6416 7218 7264 8172 9624 10896 12832 14436 16344 19248 21792 28872 32688 38496 57744 65376 91027 115488 182054 273081 364108 546162 728216 819243 1092324 1456432 1638486 2184648 2912864 3276972 4369296 6553944 8738592 13107888 26215776