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92025420 = 223517831087
BaseRepresentation
bin1010111110000…
…11001001001100
320102011101010220
411133003021030
5142024303140
613044231340
72165126454
oct537031114
9212141126
1092025420
1147a45073
122699b550
13160b0b16
14c316d64
15812bbd0
hex57c324c

92025420 has 96 divisors (see below), whose sum is σ = 276369408. Its totient is φ = 22797312.

The previous prime is 92025419. The next prime is 92025421. The reversal of 92025420 is 2452029.

It is an interprime number because it is at equal distance from previous prime (92025419) and next prime (92025421).

It is a super-3 number, since 3×920254203 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (92025421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84117 + ... + 85203.

It is an arithmetic number, because the mean of its divisors is an integer number (2878848).

Almost surely, 292025420 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 92025420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138184704).

92025420 is an abundant number, since it is smaller than the sum of its proper divisors (184343988).

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

92025420 is a wasteful number, since it uses less digits than its factorization.

92025420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 92025420 is about 9592.9880642061. The cubic root of 92025420 is about 451.4773176048.

Adding to 92025420 its reverse (2452029), we get a palindrome (94477449).

The spelling of 92025420 in words is "ninety-two million, twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 83 85 102 166 170 204 249 255 332 340 415 498 510 830 996 1020 1087 1245 1411 1660 2174 2490 2822 3261 4233 4348 4980 5435 5644 6522 7055 8466 10870 13044 14110 16305 16932 18479 21165 21740 28220 32610 36958 42330 55437 65220 73916 84660 90221 92395 110874 180442 184790 221748 270663 277185 360884 369580 451105 541326 554370 902210 1082652 1108740 1353315 1533757 1804420 2706630 3067514 4601271 5413260 6135028 7668785 9202542 15337570 18405084 23006355 30675140 46012710 92025420