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538274016 = 2532735449
BaseRepresentation
bin100000000101010…
…110100011100000
31101111212011010200
4200011112203200
52100244232031
6125225025200
716224153000
oct4005264340
91344764120
10538274016
11256929265
12130325200
1387696147
14516ba000
15323c88e6
hex201568e0

538274016 has 144 divisors (see below), whose sum is σ = 1785420000. Its totient is φ = 153764352.

The previous prime is 538273997. The next prime is 538274053. The reversal of 538274016 is 610472835.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96060 + ... + 101508.

It is an arithmetic number, because the mean of its divisors is an integer number (12398750).

Almost surely, 2538274016 is an apocalyptic number.

538274016 is a gapful number since it is divisible by the number (56) 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 538274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892710000).

538274016 is an abundant number, since it is smaller than the sum of its proper divisors (1247145984).

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

538274016 is a wasteful number, since it uses less digits than its factorization.

538274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 538274016 is about 23200.7330918659. The cubic root of 538274016 is about 813.4567587183.

The spelling of 538274016 in words is "five hundred thirty-eight million, two hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5449 5488 6174 7056 8232 10898 10976 12348 14112 16347 16464 21796 24696 32694 32928 38143 43592 49041 49392 65388 76286 87184 98082 98784 114429 130776 152572 174368 196164 228858 261552 267001 305144 343287 392328 457716 523104 534002 610288 686574 784656 801003 915432 1068004 1220576 1373148 1569312 1602006 1830864 1869007 2136008 2403009 2746296 3204012 3661728 3738014 4272016 4806018 5492592 5607021 6408024 7476028 8544032 9612036 10985184 11214042 12816048 14952056 16821063 19224072 22428084 25632096 29904112 33642126 38448144 44856168 59808224 67284252 76896288 89712336 134568504 179424672 269137008 538274016