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76072542 = 23713197333
BaseRepresentation
bin1001000100011…
…00011001011110
312022010212220120
410202030121132
5123433310132
611314255410
71612414560
oct442143136
9168125816
1076072542
1139a39477
1221587566
13129b6850
14a163330
156a2a02c
hex488c65e

76072542 has 64 divisors (see below), whose sum is σ = 197137920. Its totient is φ = 19004544.

The previous prime is 76072531. The next prime is 76072573. The reversal of 76072542 is 24527067.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6708 + ... + 14040.

It is an arithmetic number, because the mean of its divisors is an integer number (3080280).

Almost surely, 276072542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76072542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98568960).

76072542 is an abundant number, since it is smaller than the sum of its proper divisors (121065378).

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

76072542 is a wasteful number, since it uses less digits than its factorization.

76072542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377.

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 76072542 is about 8721.9574637807. The cubic root of 76072542 is about 423.7170853560.

The spelling of 76072542 in words is "seventy-six million, seventy-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 7333 10374 14666 21999 43998 51331 95329 102662 139327 153993 190658 278654 285987 307986 417981 571974 667303 835962 975289 1334606 1811251 1950578 2001909 2925867 3622502 4003818 5433753 5851734 10867506 12678757 25357514 38036271 76072542