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77868945 = 3457112227
BaseRepresentation
bin1001010010000…
…10111110010001
312102112011010000
410221002332101
5124413301240
611421000213
71633606110
oct451027621
9172464100
1077868945
113aa56100
12220b3069
13131953cb
14a4adc77
156c82430
hex4a42f91

77868945 has 120 divisors (see below), whose sum is σ = 176121792. Its totient is φ = 32218560.

The previous prime is 77868943. The next prime is 77868949. The reversal of 77868945 is 54986877.

It is not a de Polignac number, because 77868945 - 21 = 77868943 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77868891 and 77868900.

It is not an unprimeable number, because it can be changed into a prime (77868943) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 342922 + ... + 343148.

Almost surely, 277868945 is an apocalyptic number.

It is an amenable number.

77868945 is an abundant number, since it is smaller than the sum of its proper divisors (98252847).

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

77868945 is a wasteful number, since it uses less digits than its factorization.

77868945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 77868945 is about 8824.3382188128. The cubic root of 77868945 is about 427.0264377483.

The spelling of 77868945 in words is "seventy-seven million, eight hundred sixty-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 121 135 165 189 227 231 297 315 363 385 405 495 567 605 681 693 847 891 945 1089 1135 1155 1485 1589 1815 2043 2079 2497 2541 2835 3267 3405 3465 4235 4455 4767 5445 6129 6237 7491 7623 7945 9801 10215 10395 12485 12705 14301 16335 17479 18387 22473 22869 23835 27467 30645 31185 37455 38115 42903 49005 52437 67419 68607 71505 82401 87395 91935 112365 114345 128709 137335 157311 192269 202257 214515 247203 262185 337095 343035 412005 471933 576807 643545 741609 786555 961345 1011285 1236015 1415799 1730421 2224827 2359665 2884035 3708045 5191263 7078995 8652105 11124135 15573789 25956315 77868945