Search a number
-
+
76481190 = 23256113931
BaseRepresentation
bin1001000111100…
…00001010100110
312022220122110200
410203300022212
5124034344230
611331131330
71616036142
oct443601246
9168818420
1076481190
113a1984a5
1221743b46
1312aca856
14a22c222
156aab160
hex48f02a6

76481190 has 48 divisors (see below), whose sum is σ = 202125456. Its totient is φ = 20059200.

The previous prime is 76481179. The next prime is 76481201. The reversal of 76481190 is 9118467.

76481190 is a `hidden beast` number, since 7 + 648 + 1 + 1 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76481179) and next prime (76481201).

It is a super-2 number, since 2×764811902 = 11698744847632200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476 + ... + 12455.

It is an arithmetic number, because the mean of its divisors is an integer number (4210947).

Almost surely, 276481190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76481190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101062728).

76481190 is an abundant number, since it is smaller than the sum of its proper divisors (125644266).

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

76481190 is a wasteful number, since it uses less digits than its factorization.

76481190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005 (or 14002 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 76481190 is about 8745.3524800319. The cubic root of 76481190 is about 424.4744414767.

The spelling of 76481190 in words is "seventy-six million, four hundred eighty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 13931 27862 41793 69655 83586 125379 139310 208965 250758 417930 626895 849791 1253790 1699582 2549373 4248955 5098746 7648119 8497910 12746865 15296238 25493730 38240595 76481190