Search a number
-
+
54608904 = 233574013
BaseRepresentation
bin1101000001010…
…0010000001000
310210202102100000
43100110100020
5102434441104
65230243000
71232111430
oct320242010
9123672300
1054608904
1128909529
1216356460
13b41017c
1473772c0
154bda639
hex3414408

54608904 has 96 divisors (see below), whose sum is σ = 175331520. Its totient is φ = 15598656.

The previous prime is 54608899. The next prime is 54608941. The reversal of 54608904 is 40980645.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11602 + ... + 15614.

It is an arithmetic number, because the mean of its divisors is an integer number (1826370).

Almost surely, 254608904 is an apocalyptic number.

54608904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54608904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87665760).

54608904 is an abundant number, since it is smaller than the sum of its proper divisors (120722616).

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

54608904 is a wasteful number, since it uses less digits than its factorization.

54608904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54608904 is about 7389.7837586766. The cubic root of 54608904 is about 379.3916952576.

The spelling of 54608904 in words is "fifty-four million, six hundred eight thousand, nine hundred four".

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 4013 4536 6804 8026 12039 13608 16052 24078 28091 32104 36117 48156 56182 72234 84273 96312 108351 112364 144468 168546 216702 224728 252819 288936 325053 337092 433404 505638 650106 674184 758457 866808 975159 1011276 1300212 1516914 1950318 2022552 2275371 2600424 3033828 3900636 4550742 6067656 6826113 7801272 9101484 13652226 18202968 27304452 54608904