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770113872 = 243311179533
BaseRepresentation
bin101101111001110…
…000000101010000
31222200002211122000
4231321300011100
53034122120442
6204230114000
725040600643
oct5571600520
91880084560
10770113872
11365788a50
12195aab900
13c371a9a8
14743c9a5a
1547921d4c
hex2de70150

770113872 has 160 divisors (see below), whose sum is σ = 2553586560. Its totient is φ = 219617280.

The previous prime is 770113867. The next prime is 770113891. The reversal of 770113872 is 278311077.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 76018 + ... + 85550.

It is an arithmetic number, because the mean of its divisors is an integer number (15959916).

Almost surely, 2770113872 is an apocalyptic number.

770113872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770113872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276793280).

770113872 is an abundant number, since it is smaller than the sum of its proper divisors (1783472688).

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

770113872 is a wasteful number, since it uses less digits than its factorization.

770113872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 770113872 is about 27750.9256061847. The cubic root of 770113872 is about 916.6108255277.

The spelling of 770113872 in words is "seven hundred seventy million, one hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 9533 10098 13464 19066 20196 26928 28599 38132 40392 57198 76264 80784 85797 104863 114396 152528 162061 171594 209726 228792 257391 314589 324122 343188 419452 457584 486183 514782 629178 648244 686376 838904 943767 972366 1029564 1258356 1296488 1372752 1458549 1677808 1782671 1887534 1944732 2059128 2516712 2592976 2831301 2917098 3565342 3775068 3889464 4118256 4375647 5033424 5348013 5662602 5834196 7130684 7550136 7778928 8751294 10696026 11325204 11668392 14261368 15100272 16044039 17502588 21392052 22650408 23336784 28522736 32088078 35005176 42784104 45300816 48132117 64176156 70010352 85568208 96264234 128352312 192528468 256704624 385056936 770113872