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77481036 = 223717521
BaseRepresentation
bin1001001111001…
…00010001001100
312101210110000000
410213210101030
5124313343121
611404404300
71630402143
oct447442114
9171713000
1077481036
113a810716
1221b46690
131308a989
14a40c75a
156c07526
hex49e444c

77481036 has 96 divisors (see below), whose sum is σ = 215732160. Its totient is φ = 24261120.

The previous prime is 77481017. The next prime is 77481037. The reversal of 77481036 is 63018477.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77481037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148456 + ... + 148976.

It is an arithmetic number, because the mean of its divisors is an integer number (2247210).

Almost surely, 277481036 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 77481036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107866080).

77481036 is an abundant number, since it is smaller than the sum of its proper divisors (138251124).

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

77481036 is a wasteful number, since it uses less digits than its factorization.

77481036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77481036 is about 8802.3312821093. The cubic root of 77481036 is about 426.3161707599.

It can be divided in two parts, 774 and 81036, that added together give a triangular number (81810 = T404).

The spelling of 77481036 in words is "seventy-seven million, four hundred eighty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 521 612 729 918 972 1042 1377 1458 1563 1836 2084 2187 2754 2916 3126 4131 4374 4689 5508 6252 8262 8748 8857 9378 12393 14067 16524 17714 18756 24786 26571 28134 35428 37179 42201 49572 53142 56268 74358 79713 84402 106284 126603 148716 159426 168804 239139 253206 318852 379809 478278 506412 717417 759618 956556 1139427 1434834 1519236 2152251 2278854 2869668 4304502 4557708 6456753 8609004 12913506 19370259 25827012 38740518 77481036