Search a number
-
+
26694864 = 2432771373
BaseRepresentation
bin110010111010…
…1010011010000
31212020020110200
41211311103100
523313213424
62352055200
7442621410
oct145652320
955206420
1026694864
1114083279
128b34500
1356b87a1
14378c640
1525248c9
hex19754d0

26694864 has 120 divisors (see below), whose sum is σ = 86815872. Its totient is φ = 7499520.

The previous prime is 26694853. The next prime is 26694893. The reversal of 26694864 is 46849662.

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 23 ways as a sum of consecutive naturals, for example, 71382 + ... + 71754.

Almost surely, 226694864 is an apocalyptic number.

26694864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26694864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43407936).

26694864 is an abundant number, since it is smaller than the sum of its proper divisors (60121008).

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

26694864 is a wasteful number, since it uses less digits than its factorization.

26694864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 26694864 is about 5166.7072686577. The cubic root of 26694864 is about 298.8655823960.

The spelling of 26694864 in words is "twenty-six million, six hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 373 426 497 504 568 639 746 852 994 1008 1119 1136 1278 1491 1492 1704 1988 2238 2556 2611 2982 2984 3357 3408 3976 4473 4476 5112 5222 5964 5968 6714 7833 7952 8946 8952 10224 10444 11928 13428 15666 17892 17904 20888 23499 23856 26483 26856 31332 35784 41776 46998 52966 53712 62664 71568 79449 93996 105932 125328 158898 185381 187992 211864 238347 317796 370762 375984 423728 476694 556143 635592 741524 953388 1112286 1271184 1483048 1668429 1906776 2224572 2966096 3336858 3813552 4449144 6673716 8898288 13347432 26694864