Search a number
-
+
90404262 = 2351341349
BaseRepresentation
bin1010110001101…
…11010110100110
320022010000100000
411120313112212
5141120414022
612545402130
72145265164
oct530672646
9208100300
1090404262
1147038073
1226339346
1315963c60
14c014234
157e0b6ac
hex56375a6

90404262 has 96 divisors (see below), whose sum is σ = 224733600. Its totient is φ = 27060480.

The previous prime is 90404243. The next prime is 90404267. The reversal of 90404262 is 26240409.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90404267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258864 + ... + 259212.

It is an arithmetic number, because the mean of its divisors is an integer number (2340975).

Almost surely, 290404262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90404262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112366800).

90404262 is an abundant number, since it is smaller than the sum of its proper divisors (134329338).

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

90404262 is a wasteful number, since it uses less digits than its factorization.

90404262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 90404262 is about 9508.1155861716. The cubic root of 90404262 is about 448.8104583053.

The spelling of 90404262 in words is "ninety million, four hundred four thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 243 246 349 351 369 486 533 698 702 738 1047 1053 1066 1107 1599 2094 2106 2214 3141 3159 3198 3321 4537 4797 6282 6318 6642 9074 9423 9594 9963 13611 14309 14391 18846 19926 27222 28269 28618 28782 40833 42927 43173 56538 81666 84807 85854 86346 122499 128781 129519 169614 186017 244998 257562 259038 367497 372034 386343 558051 734994 772686 1102491 1116102 1159029 1674153 2204982 2318058 3348306 3477087 5022459 6954174 10044918 15067377 30134754 45202131 90404262