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4430793248 = 2572414
BaseRepresentation
bin1000010000001100…
…01000101000100000
3102102210022121200122
410020012020220200
533033240340443
62011355135412
7214541056400
oct41006105040
912383277618
104430793248
111974081602
12a37a44568
13557c5506b
14300652800
151adebc968
hex108188a20

4430793248 has 90 divisors (see below), whose sum is σ = 10400990355. Its totient is φ = 1852596480.

The previous prime is 4430793239. The next prime is 4430793277. The reversal of 4430793248 is 8423970344.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 500506384 + 3930286864 = 22372^2 + 62692^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=47068.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4430793199 and 4430793208.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 108068108 + ... + 108068148.

Almost surely, 24430793248 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 4430793248

4430793248 is an abundant number, since it is smaller than the sum of its proper divisors (5970197107).

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

4430793248 is an frugal number, since it uses more digits than its factorization.

4430793248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The square root of 4430793248 is about 66564.2039537768. The cubic root of 4430793248 is about 1642.4563191974.

The spelling of 4430793248 in words is "four billion, four hundred thirty million, seven hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 392 574 656 784 1148 1312 1568 1681 2009 2296 3362 4018 4592 6724 8036 9184 11767 13448 16072 23534 26896 32144 47068 53792 64288 68921 82369 94136 137842 164738 188272 275684 329476 376544 482447 551368 658952 964894 1102736 1317904 1929788 2205472 2635808 2825761 3377129 3859576 5651522 6754258 7719152 11303044 13508516 15438304 19780327 22606088 27017032 39560654 45212176 54034064 79121308 90424352 108068128 138462289 158242616 276924578 316485232 553849156 632970464 1107698312 2215396624 4430793248