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189993472 = 29433857
BaseRepresentation
bin10110101001100…
…01001000000000
3111020111200001021
423110301020000
5342114242342
630504115224
74464626554
oct1324611000
9436450037
10189993472
11982789a9
1253765b14
1330492796
141b339864
1511a2e567
hexb531200

189993472 has 40 divisors (see below), whose sum is σ = 380936556. Its totient is φ = 94666752.

The previous prime is 189993457. The next prime is 189993497. The reversal of 189993472 is 274399981.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 215296 = 13776^2 + 464^2 .

It is a super-2 number, since 2×1899934722 = 72195038805229568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 221268 + ... + 222124.

Almost surely, 2189993472 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 189993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190468278).

189993472 is an abundant number, since it is smaller than the sum of its proper divisors (190943084).

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

189993472 is an frugal number, since it uses more digits than its factorization.

189993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1292 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The square root of 189993472 is about 13783.8119546082. The cubic root of 189993472 is about 574.8831238191.

The spelling of 189993472 in words is "one hundred eighty-nine million, nine hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 433 512 857 866 1714 1732 3428 3464 6856 6928 13712 13856 27424 27712 54848 55424 109696 110848 219392 221696 371081 438784 742162 1484324 2968648 5937296 11874592 23749184 47498368 94996736 189993472