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9952452 = 2232299533
BaseRepresentation
bin100101111101…
…110011000100
3200201122012100
4211331303010
510021434302
6553152100
7150410616
oct45756304
920648170
109952452
115688474
1233bb630
1320a6033
141470db6
15d18d1c
hex97dcc4

9952452 has 36 divisors (see below), whose sum is σ = 26027820. Its totient is φ = 3202752.

The previous prime is 9952441. The next prime is 9952469. The reversal of 9952452 is 2542599.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 6625476 = 1824^2 + 2574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 95 + 95 + 55 + 26 + 4 + 510 + 216 .

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, 3723 + ... + 5810.

It is an arithmetic number, because the mean of its divisors is an integer number (722995).

Almost surely, 29952452 is an apocalyptic number.

It is an amenable number.

9952452 is an abundant number, since it is smaller than the sum of its proper divisors (16075368).

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

9952452 is a wasteful number, since it uses less digits than its factorization.

9952452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9567 counting only the distinct ones).

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

The square root of 9952452 is about 3154.7507033045. The cubic root of 9952452 is about 215.1014628366.

It can be divided in two parts, 9952 and 452, that added together give a square (10404 = 1022).

The spelling of 9952452 in words is "nine million, nine hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 9533 19066 28599 38132 57198 85797 114396 171594 276457 343188 552914 829371 1105828 1658742 2488113 3317484 4976226 9952452