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92538420 = 223513294091
BaseRepresentation
bin1011000010000…
…00011000110100
320110010102211220
411201000120310
5142142212140
613103230340
72202364212
oct541003064
9213112756
1092538420
1148265537
1226ba83b0
1316230480
14c40bcb2
1581cdbd0
hex5840634

92538420 has 96 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 21987840.

The previous prime is 92538401. The next prime is 92538427. The reversal of 92538420 is 2483529.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92538427) 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, 20575 + ... + 24665.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 292538420 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 92538420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

92538420 is an abundant number, since it is smaller than the sum of its proper divisors (196193100).

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

92538420 is a wasteful number, since it uses less digits than its factorization.

92538420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 92538420 is about 9619.6891841681. The cubic root of 92538420 is about 452.3146906634.

The spelling of 92538420 in words is "ninety-two million, five hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 870 1131 1508 1740 1885 2262 3770 4091 4524 5655 7540 8182 11310 12273 16364 20455 22620 24546 40910 49092 53183 61365 81820 106366 118639 122730 159549 212732 237278 245460 265915 319098 355917 474556 531830 593195 638196 711834 797745 1063660 1186390 1423668 1542307 1595490 1779585 2372780 3084614 3190980 3559170 4626921 6169228 7118340 7711535 9253842 15423070 18507684 23134605 30846140 46269210 92538420