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68132448 = 253378857
BaseRepresentation
bin1000000111110…
…01111001100000
311202012111011000
410003321321200
5114420214243
610432152000
71455054606
oct403717140
9152174130
1068132448
1135505a0a
121a998600
1311166777
149097876
155eac5d3
hex40f9e60

68132448 has 48 divisors (see below), whose sum is σ = 198722160. Its totient is φ = 22710528.

The previous prime is 68132443. The next prime is 68132453. The reversal of 68132448 is 84423186.

It is an interprime number because it is at equal distance from previous prime (68132443) and next prime (68132453).

It is a tau number, because it is divible by the number of its divisors (48).

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 plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68132443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38565 + ... + 40292.

It is an arithmetic number, because the mean of its divisors is an integer number (4140045).

Almost surely, 268132448 is an apocalyptic number.

It is an amenable number.

68132448 is an abundant number, since it is smaller than the sum of its proper divisors (130589712).

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

68132448 is a wasteful number, since it uses less digits than its factorization.

68132448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78876 (or 78862 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 68132448 is about 8254.2381841088. The cubic root of 68132448 is about 408.4303417812.

It can be divided in two parts, 6813 and 2448, that added together give a cube (9261 = 213).

The spelling of 68132448 in words is "sixty-eight million, one hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 78857 157714 236571 315428 473142 630856 709713 946284 1261712 1419426 1892568 2129139 2523424 2838852 3785136 4258278 5677704 7570272 8516556 11355408 17033112 22710816 34066224 68132448