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1929943164 = 22319107239331
BaseRepresentation
bin111001100001000…
…1001100001111100
311222111112021022110
41303002021201330
512423031140124
6515301214020
765553150312
oct16302114174
94874467273
101929943164
11900447956
1245a401310
13249ab8a06
141444600b2
15b4675029
hex7308987c

1929943164 has 96 divisors (see below), whose sum is σ = 4819046400. Its totient is φ = 599417280.

The previous prime is 1929943163. The next prime is 1929943177. The reversal of 1929943164 is 4613499291.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1929943163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5830479 + ... + 5830809.

It is an arithmetic number, because the mean of its divisors is an integer number (50198400).

Almost surely, 21929943164 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 1929943164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409523200).

1929943164 is an abundant number, since it is smaller than the sum of its proper divisors (2889103236).

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

1929943164 is a wasteful number, since it uses less digits than its factorization.

1929943164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 701 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 1929943164 is about 43931.1184014247. The cubic root of 1929943164 is about 1245.0348455595.

The spelling of 1929943164 in words is "one billion, nine hundred twenty-nine million, nine hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 239 321 331 428 478 642 662 717 956 993 1284 1324 1434 1986 2033 2868 3972 4066 4541 6099 6289 8132 9082 12198 12578 13623 18164 18867 24396 25156 25573 27246 35417 37734 51146 54492 70834 75468 76719 79109 102292 106251 141668 153438 158218 212502 237327 306876 316436 425004 474654 485887 672923 949308 971774 1345846 1457661 1503071 1943548 2018769 2691692 2915322 3006142 4037538 4509213 5830644 6012284 8075076 8464663 9018426 16929326 18036852 25393989 33858652 50787978 101575956 160828597 321657194 482485791 643314388 964971582 1929943164