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55036032 = 273331433
BaseRepresentation
bin1101000111110…
…0100010000000
310211120010020120
43101330202000
5103042123112
65243340240
71235540622
oct321744200
9124503216
1055036032
1129080427
1216521680
13b52c6cc
147448c12
154c71e8c
hex347c880

55036032 has 64 divisors (see below), whose sum is σ = 146969760. Its totient is φ = 18247680.

The previous prime is 55036031. The next prime is 55036043. The reversal of 55036032 is 23063055.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 55035993 and 55036011.

It is not an unprimeable number, because it can be changed into a prime (55036031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126888 + ... + 127320.

Almost surely, 255036032 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 55036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73484880).

55036032 is an abundant number, since it is smaller than the sum of its proper divisors (91933728).

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

55036032 is a wasteful number, since it uses less digits than its factorization.

55036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 55036032 is about 7418.6273662990. The cubic root of 55036032 is about 380.3782752097.

Adding to 55036032 its reverse (23063055), we get a palindrome (78099087).

The spelling of 55036032 in words is "fifty-five million, thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 331 384 433 662 866 993 1299 1324 1732 1986 2598 2648 3464 3972 5196 5296 6928 7944 10392 10592 13856 15888 20784 21184 27712 31776 41568 42368 55424 63552 83136 127104 143323 166272 286646 429969 573292 859938 1146584 1719876 2293168 3439752 4586336 6879504 9172672 13759008 18345344 27518016 55036032