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77054652 = 22341912517
BaseRepresentation
bin1001001011111…
…00001010111100
312100222210010000
410211330022330
5124211222102
611351314300
71623645063
oct445741274
9170883100
1077054652
113a54a334
122197b990
1312c6b88c
14a33b1da
156b7101c
hex497c2bc

77054652 has 60 divisors (see below), whose sum is σ = 212054920. Its totient is φ = 24331104.

The previous prime is 77054641. The next prime is 77054657. The reversal of 77054652 is 25645077.

It is a super-2 number, since 2×770546522 = 11874838789682208, which contains 22 as substring.

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 (77054657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103 + ... + 12414.

Almost surely, 277054652 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 77054652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106027460).

77054652 is an abundant number, since it is smaller than the sum of its proper divisors (135000268).

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

77054652 is a wasteful number, since it uses less digits than its factorization.

77054652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 12541 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 77054652 is about 8778.0779217321. The cubic root of 77054652 is about 425.5327151509.

The spelling of 77054652 in words is "seventy-seven million, fifty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 12517 25034 37551 50068 75102 112653 150204 225306 237823 337959 450612 475646 675918 713469 951292 1013877 1351836 1426938 2027754 2140407 2853876 4055508 4280814 6421221 8561628 12842442 19263663 25684884 38527326 77054652