Search a number
-
+
2057437032 = 2337234711329
BaseRepresentation
bin111101010100001…
…1111111101101000
312022101102122000120
41322220133331220
513203200441112
6540054003240
7101661632460
oct17250377550
95271378016
102057437032
11966407992
12495046520
1326a337881
1415736aba0
15c095ae8c
hex7aa1ff68

2057437032 has 128 divisors (see below), whose sum is σ = 6265036800. Its totient is φ = 550268928.

The previous prime is 2057437013. The next prime is 2057437073. The reversal of 2057437032 is 2307347502.

It is a junction number, because it is equal to n+sod(n) for n = 2057436984 and 2057437002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175944 + ... + 187272.

It is an arithmetic number, because the mean of its divisors is an integer number (48945600).

Almost surely, 22057437032 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 2057437032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132518400).

2057437032 is an abundant number, since it is smaller than the sum of its proper divisors (4207599768).

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

2057437032 is a wasteful number, since it uses less digits than its factorization.

2057437032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11415 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 2057437032 is about 45358.9796181528. The cubic root of 2057437032 is about 1271.8684201935.

The spelling of 2057437032 in words is "two billion, fifty-seven million, four hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 47 56 69 84 92 94 138 141 161 168 184 188 276 282 322 329 376 483 552 564 644 658 966 987 1081 1128 1288 1316 1932 1974 2162 2632 3243 3864 3948 4324 6486 7567 7896 8648 11329 12972 15134 22658 22701 25944 30268 33987 45316 45402 60536 67974 79303 90632 90804 135948 158606 181608 237909 260567 271896 317212 475818 521134 532463 634424 781701 951636 1042268 1064926 1563402 1597389 1823969 1903272 2084536 2129852 3126804 3194778 3647938 3727241 4259704 5471907 6253608 6389556 7295876 7454482 10943814 11181723 12246649 12779112 14591752 14908964 21887628 22363446 24493298 29817928 36739947 43775256 44726892 48986596 73479894 85726543 89453784 97973192 146959788 171453086 257179629 293919576 342906172 514359258 685812344 1028718516 2057437032