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77250006 = 23217376823
BaseRepresentation
bin1001001101010…
…11110111010110
312101100201002100
410212223313112
5124234000011
611355422530
71625420451
oct446536726
9171321070
1077250006
113a673089
1221a54a46
1313009782
14a38c498
156badd56
hex49abdd6

77250006 has 48 divisors (see below), whose sum is σ = 182037024. Its totient is φ = 23576832.

The previous prime is 77249993. The next prime is 77250007. The reversal of 77250006 is 60005277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77250007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7911 + ... + 14733.

It is an arithmetic number, because the mean of its divisors is an integer number (3792438).

Almost surely, 277250006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77250006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91018512).

77250006 is an abundant number, since it is smaller than the sum of its proper divisors (104787018).

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

77250006 is a wasteful number, since it uses less digits than its factorization.

77250006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77250006 is about 8789.1982569515. The cubic root of 77250006 is about 425.8920244760.

The spelling of 77250006 in words is "seventy-seven million, two hundred fifty thousand, six".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 6823 11322 13646 20469 40938 61407 115991 122814 231982 252451 347973 504902 695946 757353 1043919 1514706 2087838 2272059 4291667 4544118 8583334 12875001 25750002 38625003 77250006