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189305468 = 2211331237
BaseRepresentation
bin10110100100010…
…01001001111100
3111012012201021122
423102021021330
5341430233333
630441250112
74456032662
oct1322111174
9435181248
10189305468
1197949000
1253493938
13302b1591
141b1dac32
1511945798
hexb48927c

189305468 has 72 divisors (see below), whose sum is σ = 386698032. Its totient is φ = 81021600.

The previous prime is 189305461. The next prime is 189305471. The reversal of 189305468 is 864503981.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189305461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5116346 + ... + 5116382.

It is an arithmetic number, because the mean of its divisors is an integer number (5370806).

Almost surely, 2189305468 is an apocalyptic number.

It is an amenable number.

189305468 is an abundant number, since it is smaller than the sum of its proper divisors (197392564).

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

189305468 is a wasteful number, since it uses less digits than its factorization.

189305468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 189305468 is about 13758.8323632494. The cubic root of 189305468 is about 574.1883626283.

The spelling of 189305468 in words is "one hundred eighty-nine million, three hundred five thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 22 31 37 44 62 74 121 124 148 242 341 407 484 682 814 961 1147 1331 1364 1628 1922 2294 2662 3751 3844 4477 4588 5324 7502 8954 10571 12617 15004 17908 21142 25234 35557 41261 42284 49247 50468 71114 82522 98494 116281 138787 142228 165044 196988 232562 277574 391127 465124 555148 782254 1279091 1526657 1564508 2558182 3053314 4302397 5116364 6106628 8604794 17209588 47326367 94652734 189305468