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90542952 = 23321773973
BaseRepresentation
bin1010110010110…
…01001101101000
320022101001120200
411121121031220
5141134333302
612552352200
72146413423
oct531311550
9208331520
1090542952
1147122295
12263a5660
13159b2116
14c04c9ba
157e3781c
hex5659368

90542952 has 48 divisors (see below), whose sum is σ = 259648740. Its totient is φ = 28405248.

The previous prime is 90542939. The next prime is 90542981. The reversal of 90542952 is 25924509.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 6380676 = 9174^2 + 2526^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35763 + ... + 38210.

Almost surely, 290542952 is an apocalyptic number.

It is an amenable number.

90542952 is an abundant number, since it is smaller than the sum of its proper divisors (169105788).

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

90542952 is a wasteful number, since it uses less digits than its factorization.

90542952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74002 (or 73995 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 90542952 is about 9515.4060344265. The cubic root of 90542952 is about 449.0398491095.

The spelling of 90542952 in words is "ninety million, five hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 73973 147946 221919 295892 443838 591784 665757 887676 1257541 1331514 1775352 2515082 2663028 3772623 5030164 5326056 7545246 10060328 11317869 15090492 22635738 30180984 45271476 90542952