Search a number
-
+
54690552 = 233574019
BaseRepresentation
bin1101000010100…
…0001011111000
310210220120100000
43100220023320
5103000044202
65232113000
71232601450
oct320501370
9123816300
1054690552
1128964904
1216395760
13b43b397
147398d60
154c0491c
hex34282f8

54690552 has 96 divisors (see below), whose sum is σ = 175593600. Its totient is φ = 15621984.

The previous prime is 54690529. The next prime is 54690553. The reversal of 54690552 is 25509645.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54690553) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11599 + ... + 15617.

It is an arithmetic number, because the mean of its divisors is an integer number (1829100).

Almost surely, 254690552 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 54690552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87796800).

54690552 is an abundant number, since it is smaller than the sum of its proper divisors (120903048).

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

54690552 is a wasteful number, since it uses less digits than its factorization.

54690552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 54690552 is about 7395.3060788584. The cubic root of 54690552 is about 379.5806824347.

The spelling of 54690552 in words is "fifty-four million, six hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4019 4536 6804 8038 12057 13608 16076 24114 28133 32152 36171 48228 56266 72342 84399 96456 108513 112532 144684 168798 217026 225064 253197 289368 325539 337596 434052 506394 651078 675192 759591 868104 976617 1012788 1302156 1519182 1953234 2025576 2278773 2604312 3038364 3906468 4557546 6076728 6836319 7812936 9115092 13672638 18230184 27345276 54690552