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76053432 = 23371397359
BaseRepresentation
bin1001000100001…
…11101110111000
312022002220200210
410202013232320
5123432202212
611314031120
71612305060
oct442075670
9168086623
1076053432
1139a26084
12215784a0
13129aac40
14a15a3a0
156a2453c
hex4887bb8

76053432 has 128 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 19795968.

The previous prime is 76053431. The next prime is 76053451. The reversal of 76053432 is 23435067.

It is a self number, because there is not a number n which added to its sum of digits gives 76053432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76053431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 211669 + ... + 212027.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 276053432 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 76053432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

76053432 is an abundant number, since it is smaller than the sum of its proper divisors (161028168).

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

76053432 is a wasteful number, since it uses less digits than its factorization.

76053432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 76053432 is about 8720.8618840112. The cubic root of 76053432 is about 423.6816020685.

Adding to 76053432 its reverse (23435067), we get a palindrome (99488499).

The spelling of 76053432 in words is "seventy-six million, fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 97 104 156 168 182 194 273 291 312 359 364 388 546 582 679 718 728 776 1077 1092 1164 1261 1358 1436 2037 2154 2184 2328 2513 2522 2716 2872 3783 4074 4308 4667 5026 5044 5432 7539 7566 8148 8616 8827 9334 10052 10088 14001 15078 15132 16296 17654 18668 20104 26481 28002 30156 30264 32669 34823 35308 37336 52962 56004 60312 65338 69646 70616 98007 104469 105924 112008 130676 139292 196014 208938 211848 243761 261352 278584 392028 417876 452699 487522 731283 784056 835752 905398 975044 1358097 1462566 1810796 1950088 2716194 2925132 3168893 3621592 5432388 5850264 6337786 9506679 10864776 12675572 19013358 25351144 38026716 76053432