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77228352 = 2632134077
BaseRepresentation
bin1001001101001…
…10100101000000
312101022121101100
410212212211000
5124232301402
611355134400
71625300355
oct446464500
9171277340
1077228352
113a658893
1221a44400
1312ccc966
14a38462c
156ba771c
hex49a6940

77228352 has 42 divisors (see below), whose sum is σ = 221362778. Its totient is φ = 25742592.

The previous prime is 77228341. The next prime is 77228357. The reversal of 77228352 is 25382277.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77158656 + 69696 = 8784^2 + 264^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77228357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66463 + ... + 67614.

Almost surely, 277228352 is an apocalyptic number.

77228352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77228352 is an abundant number, since it is smaller than the sum of its proper divisors (144134426).

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

77228352 is a wasteful number, since it uses less digits than its factorization.

77228352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134095 (or 134082 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 77228352 is about 8787.9663176414. The cubic root of 77228352 is about 425.8522267327.

The spelling of 77228352 in words is "seventy-seven million, two hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 134077 268154 402231 536308 804462 1072616 1206693 1608924 2145232 2413386 3217848 4290464 4826772 6435696 8580928 9653544 12871392 19307088 25742784 38614176 77228352