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189466944 = 2634353433
BaseRepresentation
bin10110100101100…
…00100101000000
3111012111220210020
423102300211000
5342000420234
630444533440
74460304522
oct1322604500
9435456706
10189466944
1197a49357
1253551280
1330339c24
141b23da12
1511978549
hexb4b0940

189466944 has 112 divisors (see below), whose sum is σ = 523841472. Its totient is φ = 60383232.

The previous prime is 189466943. The next prime is 189466951. The reversal of 189466944 is 449664981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189466943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437352 + ... + 437784.

It is an arithmetic number, because the mean of its divisors is an integer number (4677156).

Almost surely, 2189466944 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 189466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261920736).

189466944 is an abundant number, since it is smaller than the sum of its proper divisors (334374528).

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

189466944 is a wasteful number, since it uses less digits than its factorization.

189466944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 189466944 is about 13764.6991975851. The cubic root of 189466944 is about 574.3515755403.

The spelling of 189466944 in words is "one hundred eighty-nine million, four hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 64 86 96 106 129 159 172 192 212 258 318 344 424 433 516 636 688 848 866 1032 1272 1299 1376 1696 1732 2064 2279 2544 2598 2752 3392 3464 4128 4558 5088 5196 6837 6928 8256 9116 10176 10392 13674 13856 18232 18619 20784 22949 27348 27712 36464 37238 41568 45898 54696 55857 68847 72928 74476 83136 91796 109392 111714 137694 145856 148952 183592 218784 223428 275388 297904 367184 437568 446856 550776 595808 734368 893712 986807 1101552 1191616 1468736 1787424 1973614 2203104 2960421 3574848 3947228 4406208 5920842 7894456 11841684 15788912 23683368 31577824 47366736 63155648 94733472 189466944