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538754944 = 27713232011
BaseRepresentation
bin100000000111001…
…011111110000000
31101112202120211211
4200013023332000
52100410124234
6125243215504
716231225060
oct4007137600
91345676754
10538754944
11257127622
12130517594
1387804010
14517a33a0
1532471164
hex201cbf80

538754944 has 128 divisors (see below), whose sum is σ = 1379105280. Its totient is φ = 203765760.

The previous prime is 538754927. The next prime is 538754969. The reversal of 538754944 is 449457835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 266899 + ... + 268909.

It is an arithmetic number, because the mean of its divisors is an integer number (10774260).

Almost surely, 2538754944 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 538754944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689552640).

538754944 is an abundant number, since it is smaller than the sum of its proper divisors (840350336).

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

538754944 is a wasteful number, since it uses less digits than its factorization.

538754944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2056 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

The square root of 538754944 is about 23211.0952779053. The cubic root of 538754944 is about 813.6989511496.

The spelling of 538754944 in words is "five hundred thirty-eight million, seven hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 182 184 208 224 299 322 364 368 416 448 598 644 728 736 832 896 1196 1288 1456 1472 1664 2011 2093 2392 2576 2912 2944 4022 4186 4784 5152 5824 8044 8372 9568 10304 11648 14077 16088 16744 19136 20608 26143 28154 32176 33488 38272 46253 52286 56308 64352 66976 92506 104572 112616 128704 133952 183001 185012 209144 225232 257408 267904 323771 366002 370024 418288 450464 601289 647542 732004 740048 836576 900928 1202578 1295084 1464008 1480096 1673152 1801856 2405156 2590168 2928016 2960192 3346304 4209023 4810312 5180336 5856032 5920384 8418046 9620624 10360672 11712064 16836092 19241248 20721344 23424128 33672184 38482496 41442688 67344368 76964992 134688736 269377472 538754944