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4092000192 = 263272144983
BaseRepresentation
bin1111001111100110…
…1111011111000000
3101120011211010222200
43303321233133000
531340023001232
61514013433200
7203255266500
oct36371573700
911504733880
104092000192
11180a911345
1296249b800
135029c3bb7
142ab661a00
1518e39977c
hexf3e6f7c0

4092000192 has 126 divisors (see below), whose sum is σ = 13644009288. Its totient is φ = 1169134848.

The previous prime is 4092000191. The next prime is 4092000223. The reversal of 4092000192 is 2910002904.

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092000191) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44268 + ... + 100715.

It is an arithmetic number, because the mean of its divisors is an integer number (108285788).

Almost surely, 24092000192 is an apocalyptic number.

4092000192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4092000192 is an abundant number, since it is smaller than the sum of its proper divisors (9552009096).

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

4092000192 is a wasteful number, since it uses less digits than its factorization.

4092000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145015 (or 144995 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4092000192 is about 63968.7438676108. The cubic root of 4092000192 is about 1599.4790220488.

The spelling of 4092000192 in words is "four billion, ninety-two million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 144983 289966 434949 579932 869898 1014881 1159864 1304847 1739796 2029762 2319728 2609694 3044643 3479592 4059524 4639456 5219388 6089286 6959184 7104167 8119048 9133929 9278912 10438776 12178572 13918368 14208334 16238096 18267858 20877552 21312501 24357144 27836736 28416668 32476192 36535716 41755104 42625002 48714288 56833336 63937503 64952384 73071432 83510208 85250004 97428576 113666672 127875006 146142864 170500008 194857152 227333344 255750012 292285728 341000016 454666688 511500024 584571456 682000032 1023000048 1364000064 2046000096 4092000192