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77244030 = 2345472029
BaseRepresentation
bin1001001101010…
…10011001111110
312101100101220000
410212222121332
5124233302110
611355335130
71625364153
oct446523176
9171311800
1077244030
113a669646
1221a514a6
1313006b36
14a38a22a
156bac1c0
hex49aa67e

77244030 has 80 divisors (see below), whose sum is σ = 212224320. Its totient is φ = 20150208.

The previous prime is 77244007. The next prime is 77244031. The reversal of 77244030 is 3044277.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 77243985 and 77244003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77244031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37056 + ... + 39084.

It is an arithmetic number, because the mean of its divisors is an integer number (2652804).

Almost surely, 277244030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77244030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106112160).

77244030 is an abundant number, since it is smaller than the sum of its proper divisors (134980290).

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

77244030 is a wasteful number, since it uses less digits than its factorization.

77244030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 77244030 is about 8788.8582876276. The cubic root of 77244030 is about 425.8810419682.

The spelling of 77244030 in words is "seventy-seven million, two hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 1269 1410 2029 2115 2538 3807 4058 4230 6087 6345 7614 10145 12174 12690 18261 19035 20290 30435 36522 38070 54783 60870 91305 95363 109566 164349 182610 190726 273915 286089 328698 476815 547830 572178 821745 858267 953630 1430445 1643490 1716534 2574801 2860890 4291335 5149602 7724403 8582670 12874005 15448806 25748010 38622015 77244030