Search a number
-
+
71842576 = 241321632
BaseRepresentation
bin1000100100000…
…11101100010000
312000011222111011
410102003230100
5121342430301
611043500304
71531436401
oct422035420
9160158434
1071842576
113760a433
1220087694
1311b65400
1497819a8
156491a51
hex4483b10

71842576 has 45 divisors (see below), whose sum is σ = 151656309. Its totient is φ = 32954688.

The previous prime is 71842523. The next prime is 71842597. The reversal of 71842576 is 67524817.

The square root of 71842576 is 8476.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10627600 + 61214976 = 3260^2 + 7824^2 .

It is a super-2 number, since 2×718425762 = 10322711452631552, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 440671 + ... + 440833.

Almost surely, 271842576 is an apocalyptic number.

71842576 is the 8476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71842576

71842576 is an abundant number, since it is smaller than the sum of its proper divisors (79813733).

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

71842576 is a wasteful number, since it uses less digits than its factorization.

71842576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The cubic root of 71842576 is about 415.7133441843.

The spelling of 71842576 in words is "seventy-one million, eight hundred forty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 163 169 208 326 338 652 676 1304 1352 2119 2608 2704 4238 8476 16952 26569 27547 33904 53138 55094 106276 110188 212552 220376 345397 425104 440752 690794 1381588 2763176 4490161 5526352 8980322 17960644 35921288 71842576