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77506340 = 2253875317
BaseRepresentation
bin1001001111010…
…10011100100100
312101211201201012
410213222130210
5124320200330
611405121352
71630536002
oct447523444
9171751635
1077506340
113a82872a
1221b59258
1313099352
14a417a72
156c0ec95
hex49ea724

77506340 has 12 divisors (see below), whose sum is σ = 162763356. Its totient is φ = 31002528.

The previous prime is 77506333. The next prime is 77506381. The reversal of 77506340 is 4360577.

It can be written as a sum of positive squares in 2 ways, for example, as 55472704 + 22033636 = 7448^2 + 4694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77506297 and 77506306.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1937639 + ... + 1937678.

It is an arithmetic number, because the mean of its divisors is an integer number (13563613).

Almost surely, 277506340 is an apocalyptic number.

It is an amenable number.

77506340 is an abundant number, since it is smaller than the sum of its proper divisors (85257016).

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

77506340 is a wasteful number, since it uses less digits than its factorization.

77506340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875326 (or 3875324 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 77506340 is about 8803.7685112683. The cubic root of 77506340 is about 426.3625749332.

The spelling of 77506340 in words is "seventy-seven million, five hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 3875317 7750634 15501268 19376585 38753170 77506340