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2157770752 = 2112947773
BaseRepresentation
bin1000000010011100…
…1111100000000000
312120101020010000021
42000213033200000
513404342131002
6554040303224
7104320514554
oct20047174000
95511203007
102157770752
11a08007115
12502771b14
13285067237
14166807864
15c9679737
hex809cf800

2157770752 has 96 divisors (see below), whose sum is σ = 4564123200. Its totient is φ = 1018200064.

The previous prime is 2157770729. The next prime is 2157770753. The reversal of 2157770752 is 2570777512.

It is a junction number, because it is equal to n+sod(n) for n = 2157770699 and 2157770708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157770753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2791038 + ... + 2791810.

It is an arithmetic number, because the mean of its divisors is an integer number (47542950).

Almost surely, 22157770752 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 2157770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282061600).

2157770752 is an abundant number, since it is smaller than the sum of its proper divisors (2406352448).

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

2157770752 is an equidigital number, since it uses as much as digits as its factorization.

2157770752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 240100, while the sum is 43.

The square root of 2157770752 is about 46451.8110734124. The cubic root of 2157770752 is about 1292.2159600914.

It can be divided in two parts, 21577 and 70752, that added together give a palindrome (92329).

The spelling of 2157770752 in words is "two billion, one hundred fifty-seven million, seven hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 256 376 464 512 752 773 928 1024 1363 1504 1546 1856 2048 2726 3008 3092 3712 5452 6016 6184 7424 10904 12032 12368 14848 21808 22417 24064 24736 29696 36331 43616 44834 48128 49472 59392 72662 87232 89668 96256 98944 145324 174464 179336 197888 290648 348928 358672 395776 581296 697856 717344 791552 1053599 1162592 1395712 1434688 1583104 2107198 2325184 2791424 2869376 4214396 4650368 5738752 8428792 9300736 11477504 16857584 18601472 22955008 33715168 37202944 45910016 67430336 74405888 134860672 269721344 539442688 1078885376 2157770752