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26683248 = 243292661
BaseRepresentation
bin110010111001…
…0011101110000
31212012122112110
41211302131300
523312330443
62351525320
7442542504
oct145623560
955178473
1026683248
1114075579
128b29840
1356b3407
143788304
152521233
hex1972770

26683248 has 60 divisors (see below), whose sum is σ = 71498648. Its totient is φ = 8574720.

The previous prime is 26683231. The next prime is 26683297. The reversal of 26683248 is 84238662.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40038 + ... + 40698.

Almost surely, 226683248 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 26683248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35749324).

26683248 is an abundant number, since it is smaller than the sum of its proper divisors (44815400).

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

26683248 is a wasteful number, since it uses less digits than its factorization.

26683248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 695 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 26683248 is about 5165.5830261453. The cubic root of 26683248 is about 298.8222266619.

The spelling of 26683248 in words is "twenty-six million, six hundred eighty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 661 696 841 1322 1392 1682 1983 2523 2644 3364 3966 5046 5288 6728 7932 10092 10576 13456 15864 19169 20184 31728 38338 40368 57507 76676 115014 153352 230028 306704 460056 555901 920112 1111802 1667703 2223604 3335406 4447208 6670812 8894416 13341624 26683248