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770069248 = 28132979101
BaseRepresentation
bin101101111001100…
…101001100000000
31222200000120102021
4231321211030000
53034114203443
6204225131224
725040323564
oct5571451400
91880016367
10770069248
11365758473
12195a89b14
13c37035a0
14743b76a4
15479139ed
hex2de65300

770069248 has 144 divisors (see below), whose sum is σ = 1751299200. Its totient is φ = 335462400.

The previous prime is 770069227. The next prime is 770069249. The reversal of 770069248 is 842960077.

It is not an unprimeable number, because it can be changed into a prime (770069249) 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 15 ways as a sum of consecutive naturals, for example, 7624398 + ... + 7624498.

It is an arithmetic number, because the mean of its divisors is an integer number (12161800).

Almost surely, 2770069248 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 770069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875649600).

770069248 is an abundant number, since it is smaller than the sum of its proper divisors (981229952).

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

770069248 is a wasteful number, since it uses less digits than its factorization.

770069248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 770069248 is about 27750.1215853192. The cubic root of 770069248 is about 916.5931209461.

The spelling of 770069248 in words is "seven hundred seventy million, sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 79 101 104 116 128 158 202 208 232 256 316 377 404 416 464 632 754 808 832 928 1027 1264 1313 1508 1616 1664 1856 2054 2291 2528 2626 2929 3016 3232 3328 3712 4108 4582 5056 5252 5858 6032 6464 7424 7979 8216 9164 10112 10504 11716 12064 12928 15958 16432 18328 20224 21008 23432 24128 25856 29783 31916 32864 36656 38077 42016 46864 48256 59566 63832 65728 73312 76154 84032 93728 96512 103727 119132 127664 131456 146624 152308 168064 187456 207454 231391 238264 255328 262912 293248 304616 336128 374912 414908 462782 476528 510656 586496 609232 749824 829816 925564 953056 1021312 1218464 1659632 1851128 1906112 2042624 2436928 3008083 3319264 3702256 3812224 4873856 6016166 6638528 7404512 7624448 9747712 12032332 13277056 14809024 24064664 26554112 29618048 48129328 59236096 96258656 192517312 385034624 770069248