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4406993472 = 263712725819
BaseRepresentation
bin1000001101010110…
…10110001001000000
3102101010112110112110
410012223112021000
533011142242342
62005145055320
7214131553320
oct40653261100
912333473473
104406993472
1119616a6472
12a2ba87540
1355304125b
142db419280
151abd6ac9c
hex106ad6240

4406993472 has 112 divisors (see below), whose sum is σ = 13431357440. Its totient is φ = 1249178112.

The previous prime is 4406993443. The next prime is 4406993519. The reversal of 4406993472 is 2743996044.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×44069934722 = 38843182924501229568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157779 + ... + 183597.

Almost surely, 24406993472 is an apocalyptic number.

4406993472 is a gapful number since it is divisible by the number (42) 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 4406993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715678720).

4406993472 is an abundant number, since it is smaller than the sum of its proper divisors (9024363968).

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

4406993472 is a wasteful number, since it uses less digits than its factorization.

4406993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25968 (or 25958 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 4406993472 is about 66385.1901556364. The cubic root of 4406993472 is about 1639.5102483669.

The spelling of 4406993472 in words is "four billion, four hundred six million, nine hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 168 192 224 254 336 381 448 508 672 762 889 1016 1344 1524 1778 2032 2667 3048 3556 4064 5334 6096 7112 8128 10668 12192 14224 21336 24384 25819 28448 42672 51638 56896 77457 85344 103276 154914 170688 180733 206552 309828 361466 413104 542199 619656 722932 826208 1084398 1239312 1445864 1652416 2168796 2478624 2891728 3279013 4337592 4957248 5783456 6558026 8675184 9837039 11566912 13116052 17350368 19674078 22953091 26232104 34700736 39348156 45906182 52464208 68859273 78696312 91812364 104928416 137718546 157392624 183624728 209856832 275437092 314785248 367249456 550874184 629570496 734498912 1101748368 1468997824 2203496736 4406993472