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4404674592 = 253322322861
BaseRepresentation
bin1000001101000101…
…00000000000100000
3102100222011122122000
410012202200000200
533010044041332
62005023244000
7214103054613
oct40642400040
912328148560
104404674592
11196036223a
12a2b149600
1355270b936
142dadb417a
151aba5db7c
hex1068a0020

4404674592 has 96 divisors (see below), whose sum is σ = 12905141760. Its totient is φ = 1461576960.

The previous prime is 4404674591. The next prime is 4404674611. The reversal of 4404674592 is 2954764044.

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

It is a super-2 number, since 2×44046745922 = 38802316522820732928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4404674591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181242 + ... + 204102.

It is an arithmetic number, because the mean of its divisors is an integer number (134428560).

Almost surely, 24404674592 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 4404674592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452570880).

4404674592 is an abundant number, since it is smaller than the sum of its proper divisors (8500467168).

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

4404674592 is a wasteful number, since it uses less digits than its factorization.

4404674592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23103 (or 23089 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4404674592 is about 66367.7225162955. The cubic root of 4404674592 is about 1639.2226377346. Note that the first 3 decimals are identical.

The spelling of 4404674592 in words is "four billion, four hundred four million, six hundred seventy-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 223 288 432 446 669 864 892 1338 1784 2007 2676 3568 4014 5352 6021 7136 8028 10704 12042 16056 21408 22861 24084 32112 45722 48168 64224 68583 91444 96336 137166 182888 192672 205749 274332 365776 411498 548664 617247 731552 822996 1097328 1234494 1645992 2194656 2468988 3291984 4937976 5098003 6583968 9875952 10196006 15294009 19751904 20392012 30588018 40784024 45882027 61176036 81568048 91764054 122352072 137646081 163136096 183528108 244704144 275292162 367056216 489408288 550584324 734112432 1101168648 1468224864 2202337296 4404674592