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4381724064 = 253192402261
BaseRepresentation
bin1000001010010101…
…11100110110100000
3102022100222122102110
410011022330312200
532433210132224
62002443315320
7213404016504
oct40512746640
912270878373
104381724064
111949407163
12a2351bb40
1354aa34543
142d7d1c304
151a9a28929
hex1052bcda0

4381724064 has 48 divisors (see below), whose sum is σ = 12107400480. Its totient is φ = 1383701760.

The previous prime is 4381724029. The next prime is 4381724069. The reversal of 4381724064 is 4604271834.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4381724069) 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, 1199307 + ... + 1202954.

It is an arithmetic number, because the mean of its divisors is an integer number (252237510).

Almost surely, 24381724064 is an apocalyptic number.

It is an amenable number.

4381724064 is an abundant number, since it is smaller than the sum of its proper divisors (7725676416).

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

4381724064 is a wasteful number, since it uses less digits than its factorization.

4381724064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402293 (or 2402285 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4381724064 is about 66194.5924075373. The cubic root of 4381724064 is about 1636.3706255953.

Adding to 4381724064 its reverse (4604271834), we get a palindrome (8985995898).

The spelling of 4381724064 in words is "four billion, three hundred eighty-one million, seven hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2402261 4804522 7206783 9609044 14413566 19218088 28827132 38436176 45642959 57654264 76872352 91285918 115308528 136928877 182571836 230617056 273857754 365143672 547715508 730287344 1095431016 1460574688 2190862032 4381724064