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26361972 = 22327132619
BaseRepresentation
bin110010010010…
…0000001110100
31211121022211100
41210210001310
523222040342
62341010100
7440034030
oct144440164
954538740
1026361972
111397615a
1289b3930
135600100
1437031c0
1524aae4c
hex1924074

26361972 has 108 divisors (see below), whose sum is σ = 82598880. Its totient is φ = 6941376.

The previous prime is 26361961. The next prime is 26361983. The reversal of 26361972 is 27916362.

26361972 is a `hidden beast` number, since 2 + 636 + 19 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (26361961) and next prime (26361983).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42279 + ... + 42897.

Almost surely, 226361972 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 26361972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41299440).

26361972 is an abundant number, since it is smaller than the sum of its proper divisors (56236908).

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

26361972 is a wasteful number, since it uses less digits than its factorization.

26361972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 644 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 26361972 is about 5134.3911031397. The cubic root of 26361972 is about 297.6180714399.

The spelling of 26361972 in words is "twenty-six million, three hundred sixty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 619 676 819 1014 1092 1183 1238 1521 1638 1857 2028 2366 2476 3042 3276 3549 3714 4333 4732 5571 6084 7098 7428 8047 8666 10647 11142 12999 14196 16094 17332 21294 22284 24141 25998 32188 38997 42588 48282 51996 56329 72423 77994 96564 104611 112658 144846 155988 168987 209222 225316 289692 313833 337974 418444 506961 627666 675948 732277 941499 1013922 1255332 1464554 1882998 2027844 2196831 2929108 3765996 4393662 6590493 8787324 13180986 26361972