Search a number
-
+
76425780 = 22352355381
BaseRepresentation
bin1001000111000…
…10101000110100
312022210211110110
410203202220310
5124031111110
611330023020
71615415454
oct443425064
9168724413
1076425780
113a15a902
1221717a70
1312aab572
14a215d64
156a99a20
hex48e2a34

76425780 has 48 divisors (see below), whose sum is σ = 223300224. Its totient is φ = 19493760.

The previous prime is 76425731. The next prime is 76425787. The reversal of 76425780 is 8752467.

It is a super-4 number, since 4×764257804 (a number of 33 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76425787) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26311 + ... + 29070.

It is an arithmetic number, because the mean of its divisors is an integer number (4652088).

Almost surely, 276425780 is an apocalyptic number.

It is an amenable number.

76425780 is an abundant number, since it is smaller than the sum of its proper divisors (146874444).

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

76425780 is a wasteful number, since it uses less digits than its factorization.

76425780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55416 (or 55414 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 76425780 is about 8742.1839376668. The cubic root of 76425780 is about 424.3719072843.

The spelling of 76425780 in words is "seventy-six million, four hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 55381 110762 166143 221524 276905 332286 553810 664572 830715 1107620 1273763 1661430 2547526 3322860 3821289 5095052 6368815 7642578 12737630 15285156 19106445 25475260 38212890 76425780