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76088484 = 2234733217
BaseRepresentation
bin1001000100100…
…00010010100100
312022011200210000
410202100102210
5123434312414
611314501300
71612512213
oct442202244
9168150700
1076088484
1139a4a44a
1221594830
13129c0b94
14a16907a
156a2eb09
hex48904a4

76088484 has 60 divisors (see below), whose sum is σ = 201697804. Its totient is φ = 25007616.

The previous prime is 76088471. The next prime is 76088491. The reversal of 76088484 is 48488067.

76088484 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 57426084 + 18662400 = 7578^2 + 4320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22044 + ... + 25260.

Almost surely, 276088484 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 76088484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100848902).

76088484 is an abundant number, since it is smaller than the sum of its proper divisors (125609320).

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

76088484 is a wasteful number, since it uses less digits than its factorization.

76088484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 76088484 is about 8722.8713162582. The cubic root of 76088484 is about 423.7466817815.

The spelling of 76088484 in words is "seventy-six million, eighty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3217 3942 5913 6434 7884 9651 11826 12868 19302 23652 28953 38604 57906 86859 115812 173718 234841 260577 347436 469682 521154 704523 939364 1042308 1409046 2113569 2818092 4227138 6340707 8454276 12681414 19022121 25362828 38044242 76088484