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55242432 = 263374567
BaseRepresentation
bin1101001010111…
…0111011000000
310211221121101000
43102232323000
5103120224212
65252012000
71240360440
oct322567300
9124847330
1055242432
1129201503
1216601000
13b5a263b
1474a0120
154cb31dc
hex34aeec0

55242432 has 112 divisors (see below), whose sum is σ = 185643520. Its totient is φ = 15780096.

The previous prime is 55242391. The next prime is 55242479. The reversal of 55242432 is 23424255.

It is a happy number.

55242432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55242396 and 55242405.

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 15 ways as a sum of consecutive naturals, for example, 9813 + ... + 14379.

Almost surely, 255242432 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 55242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92821760).

55242432 is an abundant number, since it is smaller than the sum of its proper divisors (130401088).

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

55242432 is a wasteful number, since it uses less digits than its factorization.

55242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4579 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 55242432 is about 7432.5252774545. The cubic root of 55242432 is about 380.8531891431.

Adding to 55242432 its reverse (23424255), we get a palindrome (78666687).

The spelling of 55242432 in words is "fifty-five million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 4567 6048 9134 12096 13701 18268 27402 31969 36536 41103 54804 63938 73072 82206 95907 109608 123309 127876 146144 164412 191814 219216 246618 255752 287721 292288 328824 383628 438432 493236 511504 575442 657648 767256 863163 876864 986472 1023008 1150884 1315296 1534512 1726326 1972944 2046016 2301768 2630592 3069024 3452652 3945888 4603536 6138048 6905304 7891776 9207072 13810608 18414144 27621216 55242432