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76930216 = 231123191199
BaseRepresentation
bin1001001010111…
…01110010101000
312100202110102021
410211131302220
5124143231331
611344514224
71622616226
oct445356250
9170673367
1076930216
113a4748a0
122191b974
1312c2704c
14a307b16
156b49211
hex495dca8

76930216 has 64 divisors (see below), whose sum is σ = 165888000. Its totient is φ = 33105600.

The previous prime is 76930207. The next prime is 76930223. The reversal of 76930216 is 61203967.

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 15 ways as a sum of consecutive naturals, for example, 386485 + ... + 386683.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 276930216 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 76930216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944000).

76930216 is an abundant number, since it is smaller than the sum of its proper divisors (88957784).

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

76930216 is a wasteful number, since it uses less digits than its factorization.

76930216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 76930216 is about 8770.9871736310. The cubic root of 76930216 is about 425.3035266589.

The spelling of 76930216 in words is "seventy-six million, nine hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 191 199 253 382 398 506 764 796 1012 1528 1592 2024 2101 2189 4202 4378 4393 4577 8404 8756 8786 9154 16808 17512 17572 18308 35144 36616 38009 48323 50347 76018 96646 100694 152036 193292 201388 304072 386584 402776 418099 836198 874207 1672396 1748414 3344792 3496828 6993656 9616277 19232554 38465108 76930216