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3870062208 = 273231310733
BaseRepresentation
bin1110011010101100…
…0111011010000000
3100222201012112022100
43212223013122000
530411213442313
61440004510400
7164621662125
oct34653073200
910881175270
103870062208
111706605021
129000ab400
13498a2834c
14289dac74c
15179b5a173
hexe6ac7680

3870062208 has 96 divisors (see below), whose sum is σ = 11173127940. Its totient is φ = 1285779456.

The previous prime is 3870062171. The next prime is 3870062233. The reversal of 3870062208 is 8022600783.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2630458944 + 1239603264 = 51288^2 + 35208^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355210 + ... + 365942.

Almost surely, 23870062208 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 3870062208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586563970).

3870062208 is an abundant number, since it is smaller than the sum of its proper divisors (7303065732).

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

3870062208 is a wasteful number, since it uses less digits than its factorization.

3870062208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11066 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3870062208 is about 62209.8240473319. The cubic root of 3870062208 is about 1570.0228820011.

The spelling of 3870062208 in words is "three billion, eight hundred seventy million, sixty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 313 384 576 626 939 1152 1252 1878 2504 2817 3756 5008 5634 7512 10016 10733 11268 15024 20032 21466 22536 30048 32199 40064 42932 45072 60096 64398 85864 90144 96597 120192 128796 171728 180288 193194 257592 343456 360576 386388 515184 686912 772776 1030368 1373824 1545552 2060736 3091104 3359429 4121472 6182208 6718858 10078287 12364416 13437716 20156574 26875432 30234861 40313148 53750864 60469722 80626296 107501728 120939444 161252592 215003456 241878888 322505184 430006912 483757776 645010368 967515552 1290020736 1935031104 3870062208