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189493248 = 212372203
BaseRepresentation
bin10110100101101…
…11000000000000
3111012120020212110
423102313000000
5342002240443
630445255320
74460444310
oct1322670000
9435506773
10189493248
1197a6709a
1253564540
1330348ba9
141b249440
1511981233
hexb4b7000

189493248 has 104 divisors (see below), whose sum is σ = 577694848. Its totient is φ = 54116352.

The previous prime is 189493247. The next prime is 189493273. The reversal of 189493248 is 842394981.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 189493197 and 189493206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189493247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84915 + ... + 87117.

Almost surely, 2189493248 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 189493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288847424).

189493248 is an abundant number, since it is smaller than the sum of its proper divisors (388201600).

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

189493248 is an equidigital number, since it uses as much as digits as its factorization.

189493248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2215 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 189493248 is about 13765.6546520680. The cubic root of 189493248 is about 574.3781536941.

The spelling of 189493248 in words is "one hundred eighty-nine million, four hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2203 2688 3072 3584 4096 4406 5376 6144 6609 7168 8812 10752 12288 13218 14336 15421 17624 21504 26436 28672 30842 35248 43008 46263 52872 61684 70496 86016 92526 105744 123368 140992 185052 211488 246736 281984 370104 422976 493472 563968 740208 845952 986944 1127936 1480416 1691904 1973888 2255872 2960832 3383808 3947776 4511744 5921664 6767616 7895552 9023488 11843328 13535232 15791104 23686656 27070464 31582208 47373312 63164416 94746624 189493248