Search a number
-
+
26972208 = 2432971931
BaseRepresentation
bin110011011100…
…1000000110000
31212202022220200
41212321000300
523401102313
62402035200
7445155114
oct146710060
955668820
1026972208
111425268a
129048b00
135784ab3
143821744
15257bb73
hex19b9030

26972208 has 60 divisors (see below), whose sum is σ = 76302408. Its totient is φ = 8893440.

The previous prime is 26972203. The next prime is 26972213. The reversal of 26972208 is 80227962.

It is an interprime number because it is at equal distance from previous prime (26972203) and next prime (26972213).

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

It is not an unprimeable number, because it can be changed into a prime (26972203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13003 + ... + 14933.

Almost surely, 226972208 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 26972208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38151204).

26972208 is an abundant number, since it is smaller than the sum of its proper divisors (49330200).

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

26972208 is a wasteful number, since it uses less digits than its factorization.

26972208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26972208 is about 5193.4774477223. The cubic root of 26972208 is about 299.8970313289.

The spelling of 26972208 in words is "twenty-six million, nine hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 1931 2328 3492 3862 4656 5793 6984 7724 11586 13968 15448 17379 23172 30896 34758 46344 69516 92688 139032 187307 278064 374614 561921 749228 1123842 1498456 1685763 2247684 2996912 3371526 4495368 6743052 8990736 13486104 26972208