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76260492 = 223271124161
BaseRepresentation
bin1001000101110…
…10010010001100
312022111102201200
410202322102030
5124010313432
611322305500
71614126540
oct442722214
9168442650
1076260492
113a057700
1221658290
1312a51269
14a1b1a20
156a65a7c
hex48ba48c

76260492 has 216 divisors, whose sum is σ = 252129696. Its totient is φ = 19008000.

The previous prime is 76260491. The next prime is 76260493. The reversal of 76260492 is 29406267.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76260491) and next prime (76260493).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76260491) 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 71 ways as a sum of consecutive naturals, for example, 1250142 + ... + 1250202.

Almost surely, 276260492 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 76260492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126064848).

76260492 is an abundant number, since it is smaller than the sum of its proper divisors (175869204).

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

76260492 is a wasteful number, since it uses less digits than its factorization.

76260492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76260492 is about 8732.7253477938. The cubic root of 76260492 is about 424.0657531229.

The spelling of 76260492 in words is "seventy-six million, two hundred sixty thousand, four hundred ninety-two".