Search a number
-
+
71854496 = 257973307
BaseRepresentation
bin1000100100001…
…10100110100000
312000012120211122
410102012212200
5121343320441
611044031412
71531516220
oct422064640
9160176748
1071854496
113761838a
1220092568
1311b6a96c
149786080
15649534b
hex44869a0

71854496 has 48 divisors (see below), whose sum is σ = 163388736. Its totient is φ = 30468096.

The previous prime is 71854487. The next prime is 71854501. The reversal of 71854496 is 69445817.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20075 + ... + 23381.

It is an arithmetic number, because the mean of its divisors is an integer number (3403932).

Almost surely, 271854496 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 71854496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81694368).

71854496 is an abundant number, since it is smaller than the sum of its proper divisors (91534240).

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

71854496 is a wasteful number, since it uses less digits than its factorization.

71854496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3413 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 71854496 is about 8476.7031327044. The cubic root of 71854496 is about 415.7363344003.

The spelling of 71854496 in words is "seventy-one million, eight hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2716 3104 3307 5432 6614 10864 13228 21728 23149 26456 46298 52912 92596 105824 185192 320779 370384 641558 740768 1283116 2245453 2566232 4490906 5132464 8981812 10264928 17963624 35927248 71854496