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20148552 = 2332234
BaseRepresentation
bin100110011011…
…1000101001000
31101220122121200
41030313011020
520124223202
61555504200
7333155064
oct114670510
941818550
1020148552
11104119a6
1268b8060
134235c28
142966aa4
151b7ee1c
hex1337148

20148552 has 60 divisors (see below), whose sum is σ = 57049395. Its totient is φ = 6424176.

The previous prime is 20148547. The next prime is 20148581. The reversal of 20148552 is 25584102.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10074276 + 10074276 = 3174^2 + 3174^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3174.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 876013 + ... + 876035.

Almost surely, 220148552 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 20148552

20148552 is an abundant number, since it is smaller than the sum of its proper divisors (36900843).

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

20148552 is an frugal number, since it uses more digits than its factorization.

20148552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 20148552 is about 4488.7138469722. The cubic root of 20148552 is about 272.1121581862.

Multiplying 20148552 by its product of nonzero digits (3200), we get a square (64475366400 = 2539202).

The spelling of 20148552 in words is "twenty million, one hundred forty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 3174 4232 4761 6348 9522 12167 12696 19044 24334 36501 38088 48668 73002 97336 109503 146004 219006 279841 292008 438012 559682 839523 876024 1119364 1679046 2238728 2518569 3358092 5037138 6716184 10074276 20148552