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2057583108 = 223724774453
BaseRepresentation
bin111101010100100…
…0011101000000100
312022101201001101210
41322221003220010
513203220124413
6540101051420
7101663111400
oct17251035004
95271631353
102057583108
119664a7709
124950b6b70
1326a3891c9
141573a8100
15c09893c3
hex7aa43a04

2057583108 has 72 divisors (see below), whose sum is σ = 5703772032. Its totient is φ = 575365056.

The previous prime is 2057583107. The next prime is 2057583133. The reversal of 2057583108 is 8013857502.

It is not an unprimeable number, because it can be changed into a prime (2057583107) 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 23 ways as a sum of consecutive naturals, for example, 9591 + ... + 64862.

It is an arithmetic number, because the mean of its divisors is an integer number (79219056).

Almost surely, 22057583108 is an apocalyptic number.

2057583108 is a gapful number since it is divisible by the number (28) 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 2057583108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851886016).

2057583108 is an abundant number, since it is smaller than the sum of its proper divisors (3646188924).

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

2057583108 is a wasteful number, since it uses less digits than its factorization.

2057583108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74521 (or 74512 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 2057583108 is about 45360.5898109802. The cubic root of 2057583108 is about 1271.8985199489.

The spelling of 2057583108 in words is "two billion, fifty-seven million, five hundred eighty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 564 588 658 987 1316 1974 2303 3948 4606 6909 9212 13818 27636 74453 148906 223359 297812 446718 521171 893436 1042342 1563513 2084684 3127026 3499291 3648197 6254052 6998582 7296394 10497873 10944591 13997164 14592788 20995746 21889182 24495037 41991492 43778364 48990074 73485111 97980148 146970222 171465259 293940444 342930518 514395777 685861036 1028791554 2057583108