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76930441 = 741792
BaseRepresentation
bin1001001010111…
…01110110001001
312100202110201121
410211131312021
5124143233231
611344515241
71622620000
oct445356611
9170673647
1076930441
113a474a85
122191bb21
1312c27193
14a307c37
156b49311
hex495dd89

76930441 has 15 divisors (see below), whose sum is σ = 90251021. Its totient is φ = 65571996.

The previous prime is 76930433. The next prime is 76930453. The reversal of 76930441 is 14403967.

It is a happy number.

The square root of 76930441 is 8771.

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

It is not a de Polignac number, because 76930441 - 23 = 76930433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76930397 and 76930406.

It is not an unprimeable number, because it can be changed into a prime (76930481) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 429690 + ... + 429868.

Almost surely, 276930441 is an apocalyptic number.

76930441 is the 8771-st square number.

76930441 is the 4386-th centered octagonal number.

It is an amenable number.

76930441 is a deficient number, since it is larger than the sum of its proper divisors (13320580).

76930441 is an frugal number, since it uses more digits than its factorization.

76930441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The cubic root of 76930441 is about 425.3039412909.

The spelling of 76930441 in words is "seventy-six million, nine hundred thirty thousand, four hundred forty-one".

Divisors: 1 7 49 179 343 1253 2401 8771 32041 61397 224287 429779 1570009 10990063 76930441