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4494897936 = 24323721512
BaseRepresentation
bin1000010111110101…
…01011001100010000
3102121020221110210100
410023322223030100
533201143213221
62022005132400
7216250000464
oct41372531420
912536843710
104494897936
1119a7286391
12a553ba100
1356830b429
14308d7c4a4
151b4931926
hex10beab310

4494897936 has 135 divisors (see below), whose sum is σ = 13014833013. Its totient is φ = 1448150400.

The previous prime is 4494897929. The next prime is 4494897941. The reversal of 4494897936 is 6397984944.

The square root of 4494897936 is 67044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4022096400 + 472801536 = 63420^2 + 21744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29767461 + ... + 29767611.

Almost surely, 24494897936 is an apocalyptic number.

4494897936 is the 67044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4494897936

4494897936 is an abundant number, since it is smaller than the sum of its proper divisors (8519935077).

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

4494897936 is a wasteful number, since it uses less digits than its factorization.

4494897936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 193 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The cubic root of 4494897936 is about 1650.3394387057.

It can be divided in two parts, 44948 and 97936, that added together give a square (142884 = 3782).

The spelling of 4494897936 in words is "four billion, four hundred ninety-four million, eight hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 151 222 296 302 333 444 453 592 604 666 888 906 1208 1332 1359 1369 1776 1812 2416 2664 2718 2738 3624 4107 5328 5436 5476 5587 7248 8214 10872 10952 11174 12321 16428 16761 21744 21904 22348 22801 24642 32856 33522 44696 45602 49284 50283 65712 67044 68403 89392 91204 98568 100566 134088 136806 182408 197136 201132 205209 206719 268176 273612 364816 402264 410418 413438 547224 620157 804528 820836 826876 843637 1094448 1240314 1641672 1653752 1687274 1860471 2480628 2530911 3283344 3307504 3374548 3720942 4961256 5061822 6749096 7441884 7592733 9922512 10123644 13498192 14883768 15185466 20247288 29767536 30370932 31214569 40494576 60741864 62429138 93643707 121483728 124858276 187287414 249716552 280931121 374574828 499433104 561862242 749149656 1123724484 1498299312 2247448968 4494897936