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76540752 = 24324611153
BaseRepresentation
bin1001000111111…
…10101101010000
312100000200011200
410203332231100
5124043301002
611332311200
71616404611
oct443765520
9170020150
1076540752
113a229222
1221772500
1312b1b9b2
14a245c08
156abdb1c
hex48feb50

76540752 has 60 divisors (see below), whose sum is σ = 214858644. Its totient is φ = 25436160.

The previous prime is 76540703. The next prime is 76540777. The reversal of 76540752 is 25704567.

It can be written as a sum of positive squares in 2 ways, for example, as 43086096 + 33454656 = 6564^2 + 5784^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65808 + ... + 66960.

Almost surely, 276540752 is an apocalyptic number.

76540752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76540752 is an abundant number, since it is smaller than the sum of its proper divisors (138317892).

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

76540752 is a wasteful number, since it uses less digits than its factorization.

76540752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 76540752 is about 8748.7571688783. The cubic root of 76540752 is about 424.5846035803.

The spelling of 76540752 in words is "seventy-six million, five hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 461 922 1153 1383 1844 2306 2766 3459 3688 4149 4612 5532 6918 7376 8298 9224 10377 11064 13836 16596 18448 20754 22128 27672 33192 41508 55344 66384 83016 166032 531533 1063066 1594599 2126132 3189198 4252264 4783797 6378396 8504528 9567594 12756792 19135188 25513584 38270376 76540752