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90576552 = 233111033331
BaseRepresentation
bin1010110011000…
…01011010101000
320022102202200010
411121201122220
5141141422202
612553211520
72146613403
oct531413250
9208382603
1090576552
1147145560
1226400ba0
13159c44c1
14c05ad3a
157e4276c
hex56616a8

90576552 has 64 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 27172800.

The previous prime is 90576547. The next prime is 90576557. The reversal of 90576552 is 25567509.

It is an interprime number because it is at equal distance from previous prime (90576547) and next prime (90576557).

It is a super-2 number, since 2×905765522 = 16408223544417408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90576552.

It is not an unprimeable number, because it can be changed into a prime (90576557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25527 + ... + 28857.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 290576552 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 90576552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080).

90576552 is an abundant number, since it is smaller than the sum of its proper divisors (158923608).

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

90576552 is a wasteful number, since it uses less digits than its factorization.

90576552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 90576552 is about 9517.1714285285. The cubic root of 90576552 is about 449.0953876602.

The spelling of 90576552 in words is "ninety million, five hundred seventy-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3331 3399 4532 6662 6798 9064 9993 13324 13596 19986 26648 27192 36641 39972 73282 79944 109923 146564 219846 293128 343093 439692 686186 879384 1029279 1372372 2058558 2744744 3774023 4117116 7548046 8234232 11322069 15096092 22644138 30192184 45288276 90576552