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77140532 = 22719831747
BaseRepresentation
bin1001001100100…
…01001000110100
312101011010220202
410212101020310
5124221444112
611353220032
71624453340
oct446211064
9171133822
1077140532
113a5a8907
1221a01618
1312c9b9b1
14a360620
156b8b6c2
hex4991234

77140532 has 48 divisors (see below), whose sum is σ = 164451840. Its totient is φ = 30925152.

The previous prime is 77140501. The next prime is 77140541. The reversal of 77140532 is 23504177.

It is a junction number, because it is equal to n+sod(n) for n = 77140495 and 77140504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43283 + ... + 45029.

It is an arithmetic number, because the mean of its divisors is an integer number (3426080).

Almost surely, 277140532 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 77140532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82225920).

77140532 is an abundant number, since it is smaller than the sum of its proper divisors (87311308).

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

77140532 is a wasteful number, since it uses less digits than its factorization.

77140532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 77140532 is about 8782.9682909595. The cubic root of 77140532 is about 425.6907466270.

The spelling of 77140532 in words is "seventy-seven million, one hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 83 133 166 266 332 532 581 1162 1577 1747 2324 3154 3494 6308 6988 11039 12229 22078 24458 33193 44156 48916 66386 132772 145001 232351 290002 464702 580004 929404 1015007 2030014 2755019 4060028 5510038 11020076 19285133 38570266 77140532