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5504341400 = 2352312273911
BaseRepresentation
bin1010010000001010…
…11001010110011000
3112012121101111220022
411020011121112120
542233102411100
62310105050012
7253255062365
oct51005312630
915177344808
105504341400
11237506a188
121097486908
136994a3a5c
143a306746c
1522337ae85
hex148159598

5504341400 has 96 divisors (see below), whose sum is σ = 13272007680. Its totient is φ = 2120784000.

The previous prime is 5504341399. The next prime is 5504341411. The reversal of 5504341400 is 41434055.

It is a self number, because there is not a number n which added to its sum of digits gives 5504341400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1405445 + ... + 1409355.

It is an arithmetic number, because the mean of its divisors is an integer number (138250080).

Almost surely, 25504341400 is an apocalyptic number.

5504341400 is a gapful number since it is divisible by the number (50) 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 5504341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636003840).

5504341400 is an abundant number, since it is smaller than the sum of its proper divisors (7767666280).

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

5504341400 is a wasteful number, since it uses less digits than its factorization.

5504341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 5504341400 is about 74191.2488100854. The cubic root of 5504341400 is about 1765.6384895829.

Adding to 5504341400 its reverse (41434055), we get a palindrome (5545775455).

The spelling of 5504341400 in words is "five billion, five hundred four million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 227 248 310 454 620 775 908 1135 1240 1550 1816 2270 3100 3911 4540 5675 6200 7037 7822 9080 11350 14074 15644 19555 22700 28148 31288 35185 39110 45400 56296 70370 78220 97775 121241 140740 156440 175925 195550 242482 281480 351850 391100 484964 606205 703700 782200 887797 969928 1212410 1407400 1775594 2424820 3031025 3551188 4438985 4849640 6062050 7102376 8877970 12124100 17755940 22194925 24248200 27521707 35511880 44389850 55043414 88779700 110086828 137608535 177559400 220173656 275217070 550434140 688042675 1100868280 1376085350 2752170700 5504341400