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90273528 = 233623673
BaseRepresentation
bin1010110000101…
…11011011111000
320021212101000000
411120113123320
5141102223103
612542513000
72144212062
oct530273370
9207771000
1090273528
1146a58924
1226295760
13159195b7
14bdbc732
157dd2aa3
hex56176f8

90273528 has 112 divisors (see below), whose sum is σ = 265205520. Its totient is φ = 28740096.

The previous prime is 90273527. The next prime is 90273529. The reversal of 90273528 is 82537209.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90273527) and next prime (90273529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90273492 and 90273501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90273523) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 133800 + ... + 134472.

Almost surely, 290273528 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 90273528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132602760).

90273528 is an abundant number, since it is smaller than the sum of its proper divisors (174931992).

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

90273528 is a wasteful number, since it uses less digits than its factorization.

90273528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90273528 is about 9501.2382350934. The cubic root of 90273528 is about 448.5940116792.

The spelling of 90273528 in words is "ninety million, two hundred seventy-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 673 729 828 972 1242 1346 1458 1656 1863 1944 2019 2484 2692 2916 3726 4038 4968 5384 5589 5832 6057 7452 8076 11178 12114 14904 15479 16152 16767 18171 22356 24228 30958 33534 36342 44712 46437 48456 54513 61916 67068 72684 92874 109026 123832 134136 139311 145368 163539 185748 218052 278622 327078 371496 417933 436104 490617 557244 654156 835866 981234 1114488 1253799 1308312 1671732 1962468 2507598 3343464 3761397 3924936 5015196 7522794 10030392 11284191 15045588 22568382 30091176 45136764 90273528