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77256036 = 2232111343349
BaseRepresentation
bin1001001101011…
…01010101100100
312101101000100200
410212231111210
5124234143121
611355510500
71625444154
oct446552544
9171330320
1077256036
113a677670
1221a58430
131300c440
14a390764
156bb0a26
hex49ad564

77256036 has 144 divisors (see below), whose sum is σ = 235435200. Its totient is φ = 21047040.

The previous prime is 77256031. The next prime is 77256059. The reversal of 77256036 is 63065277.

It is a happy number.

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 (77256031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 221190 + ... + 221538.

Almost surely, 277256036 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 77256036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117717600).

77256036 is an abundant number, since it is smaller than the sum of its proper divisors (158179164).

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

77256036 is a wasteful number, since it uses less digits than its factorization.

77256036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 77256036 is about 8789.5412849591. The cubic root of 77256036 is about 425.9031056492.

The spelling of 77256036 in words is "seventy-seven million, two hundred fifty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 43 44 52 66 78 86 99 117 129 132 143 156 172 198 234 258 286 349 387 396 429 468 473 516 559 572 698 774 858 946 1047 1118 1287 1396 1419 1548 1677 1716 1892 2094 2236 2574 2838 3141 3354 3839 4188 4257 4537 5031 5148 5676 6149 6282 6708 7678 8514 9074 10062 11517 12298 12564 13611 15007 15356 17028 18148 18447 20124 23034 24596 27222 30014 34551 36894 40833 45021 46068 49907 54444 55341 60028 69102 73788 81666 90042 99814 110682 135063 138204 149721 163332 165077 180084 195091 199628 221364 270126 299442 330154 390182 449163 495231 540252 585273 598884 660308 780364 898326 990462 1170546 1485693 1755819 1796652 1980924 2146001 2341092 2971386 3511638 4292002 5942772 6438003 7023276 8584004 12876006 19314009 25752012 38628018 77256036