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92423680 = 29579457
BaseRepresentation
bin1011000001001…
…00011000000000
320102220121110021
411200210120000
5142130024210
613100543224
72201405536
oct540443000
9212817407
1092423680
1148197308
1226b51b14
13161c018b
14c3bc156
1581a9bda
hex5824600

92423680 has 80 divisors (see below), whose sum is σ = 224896320. Its totient is φ = 36421632.

The previous prime is 92423659. The next prime is 92423687. The reversal of 92423680 is 8632429.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92423687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202012 + ... + 202468.

It is an arithmetic number, because the mean of its divisors is an integer number (2811204).

Almost surely, 292423680 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 92423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112448160).

92423680 is an abundant number, since it is smaller than the sum of its proper divisors (132472640).

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

92423680 is an equidigital number, since it uses as much as digits as its factorization.

92423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 92423680 is about 9613.7235242127. The cubic root of 92423680 is about 452.1276690552.

It can be divided in two parts, 924236 and 80, that multiplied together give a triangular number (73938880 = T12160).

The spelling of 92423680 in words is "ninety-two million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 457 512 632 640 790 914 1264 1280 1580 1828 2285 2528 2560 3160 3656 4570 5056 6320 7312 9140 10112 12640 14624 18280 20224 25280 29248 36103 36560 40448 50560 58496 72206 73120 101120 116992 144412 146240 180515 202240 233984 288824 292480 361030 577648 584960 722060 1155296 1169920 1444120 2310592 2888240 4621184 5776480 9242368 11552960 18484736 23105920 46211840 92423680