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4021590672 = 2432112538883
BaseRepresentation
bin1110111110110100…
…1001101010010000
3101101021022222021200
43233231021222100
531214011400142
61503020351200
7201441646101
oct35755115220
911337288250
104021590672
1117840a0660
129429a5500
134c1240b68
142a21743a8
151880dc64c
hexefb49a90

4021590672 has 60 divisors (see below), whose sum is σ = 12278043024. Its totient is φ = 1218663360.

The previous prime is 4021590649. The next prime is 4021590679. The reversal of 4021590672 is 2760951204.

4021590672 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 590 + 67 + 2 = 666.

It is a super-3 number, since 3×40215906723 (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4021590679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1267858 + ... + 1271025.

Almost surely, 24021590672 is an apocalyptic number.

It is an amenable number.

4021590672 is an abundant number, since it is smaller than the sum of its proper divisors (8256452352).

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

4021590672 is a wasteful number, since it uses less digits than its factorization.

4021590672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538908 (or 2538899 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4021590672 is about 63416.0127412628. The cubic root of 4021590672 is about 1590.2520165381.

The spelling of 4021590672 in words is "four billion, twenty-one million, five hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2538883 5077766 7616649 10155532 15233298 20311064 22849947 27927713 30466596 40622128 45699894 55855426 60933192 83783139 91399788 111710852 121866384 167566278 182799576 223421704 251349417 335132556 365599152 446843408 502698834 670265112 1005397668 1340530224 2010795336 4021590672