Search a number
-
+
538018992 = 243271731397
BaseRepresentation
bin100000000100011…
…000010010110000
31101111101012022100
4200010120102300
52100213101432
6125215340400
716222041330
oct4004302260
91344335270
10538018992
112567746a5
12130221700
1387607044
14516510c0
153237807c
hex201184b0

538018992 has 120 divisors (see below), whose sum is σ = 1822088736. Its totient is φ = 144672768.

The previous prime is 538018969. The next prime is 538018997. The reversal of 538018992 is 299810835.

It is a happy number.

538018992 is a `hidden beast` number, since 5 + 380 + 189 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (538018997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438 + ... + 32834.

Almost surely, 2538018992 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 538018992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911044368).

538018992 is an abundant number, since it is smaller than the sum of its proper divisors (1284069744).

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

538018992 is a wasteful number, since it uses less digits than its factorization.

538018992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31435 (or 31426 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 538018992 is about 23195.2364075040. The cubic root of 538018992 is about 813.3282716398.

The spelling of 538018992 in words is "five hundred thirty-eight million, eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 31397 62794 94191 125588 188382 219779 251176 282573 376764 439558 502352 533749 565146 659337 753528 879116 1067498 1130292 1318674 1507056 1601247 1758232 1978011 2134996 2260584 2637348 3202494 3516464 3736243 3956022 4269992 4521168 4803741 5274696 6404988 7472486 7912044 8539984 9607482 10549392 11208729 12809976 14944972 15824088 19214964 22417458 25619952 29889944 31648176 33626187 38429928 44834916 59779888 67252374 76859856 89669832 134504748 179339664 269009496 538018992