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92099040 = 25351117443
BaseRepresentation
bin1010111110101…
…01000111100000
320102022010010120
411133111013200
5142034132130
613050000240
72165554215
oct537250740
9212263116
1092099040
1147a95410
1226a16080
1316108497
14c335b0c
158143910
hex57d51e0

92099040 has 96 divisors (see below), whose sum is σ = 316503936. Its totient is φ = 22325760.

The previous prime is 92099027. The next prime is 92099057. The reversal of 92099040 is 4099029.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 92098992 and 92099010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3442 + ... + 14001.

It is an arithmetic number, because the mean of its divisors is an integer number (3296916).

Almost surely, 292099040 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 92099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158251968).

92099040 is an abundant number, since it is smaller than the sum of its proper divisors (224404896).

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

92099040 is a wasteful number, since it uses less digits than its factorization.

92099040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17472 (or 17464 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 92099040 is about 9596.8244747937. The cubic root of 92099040 is about 451.5976789162.

Subtracting from 92099040 its reverse (4099029), we obtain a triangular number (88000011 = T13266).

The spelling of 92099040 in words is "ninety-two million, ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 17443 34886 52329 69772 87215 104658 139544 174430 191873 209316 261645 279088 348860 383746 418632 523290 558176 575619 697720 767492 837264 959365 1046580 1151238 1395440 1534984 1674528 1918730 2093160 2302476 2790880 2878095 3069968 3837460 4186320 4604952 5756190 6139936 7674920 8372640 9209904 11512380 15349840 18419808 23024760 30699680 46049520 92099040