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77364990 = 23351012837
BaseRepresentation
bin1001001110001…
…11111011111110
312101120112211000
410213013323332
5124301134430
611402111130
71626406623
oct447077376
9171515730
1077364990
113a74150a
1221aab4a6
1313049c01
14a3bc34a
156bd2e60
hex49c7efe

77364990 has 64 divisors (see below), whose sum is σ = 208422720. Its totient is φ = 20419200.

The previous prime is 77364983. The next prime is 77365003. The reversal of 77364990 is 9946377.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25852 + ... + 28688.

It is an arithmetic number, because the mean of its divisors is an integer number (3256605).

Almost surely, 277364990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77364990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104211360).

77364990 is an abundant number, since it is smaller than the sum of its proper divisors (131057730).

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

77364990 is a wasteful number, since it uses less digits than its factorization.

77364990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 77364990 is about 8795.7370356327. The cubic root of 77364990 is about 426.1032283065.

The spelling of 77364990 in words is "seventy-seven million, three hundred sixty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 2837 3030 4545 5454 5674 8511 9090 13635 14185 17022 25533 27270 28370 42555 51066 76599 85110 127665 153198 255330 286537 382995 573074 765990 859611 1432685 1719222 2578833 2865370 4298055 5157666 7736499 8596110 12894165 15472998 25788330 38682495 77364990