Search a number
-
+
554319136 = 25717236329
BaseRepresentation
bin100001000010100…
…011110100100000
31102122001022220101
4201002203310200
52113401203021
6131000552144
716510430530
oct4102436440
91378038811
10554319136
11264998198
12135782654
138aac33b7
14538954c0
15339e7a91
hex210a3d20

554319136 has 96 divisors (see below), whose sum is σ = 1378218240. Its totient is φ = 213835776.

The previous prime is 554319133. The next prime is 554319151. The reversal of 554319136 is 631913455.

554319136 = 20992 + 21002 + ... + 22172.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 554319095 and 554319104.

It is not an unprimeable number, because it can be changed into a prime (554319133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84420 + ... + 90748.

It is an arithmetic number, because the mean of its divisors is an integer number (14356440).

Almost surely, 2554319136 is an apocalyptic number.

554319136 is a gapful number since it is divisible by the number (56) 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 554319136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689109120).

554319136 is an abundant number, since it is smaller than the sum of its proper divisors (823899104).

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

554319136 is a wasteful number, since it uses less digits than its factorization.

554319136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6378 counting only the distinct ones).

The product of its digits is 48600, while the sum is 37.

The square root of 554319136 is about 23543.9830105273. The cubic root of 554319136 is about 821.4603838942.

It can be divided in two parts, 554319 and 136, that added together give a palindrome (554455).

The spelling of 554319136 in words is "five hundred fifty-four million, three hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 161 184 224 238 272 322 368 391 476 544 644 736 782 952 1288 1564 1904 2576 2737 3128 3808 5152 5474 6256 6329 10948 12512 12658 21896 25316 43792 44303 50632 87584 88606 101264 107593 145567 177212 202528 215186 291134 354424 430372 582268 708848 753151 860744 1018969 1164536 1417696 1506302 1721488 2037938 2329072 2474639 3012604 3442976 4075876 4658144 4949278 6025208 8151752 9898556 12050416 16303504 17322473 19797112 24100832 32607008 34644946 39594224 69289892 79188448 138579784 277159568 554319136