Search a number
-
+
5553510400 = 21152791373
BaseRepresentation
bin1010010110000001…
…11101100000000000
3112100000220120002101
411023000331200000
542333144313100
62315023000144
7254423026264
oct51300754000
915300816071
105553510400
11239a8a2619
1210aba39054
136a672ab39
143a97c60a4
1522783e86a
hex14b03d800

5553510400 has 144 divisors (see below), whose sum is σ = 13953794400. Its totient is φ = 2191687680.

The previous prime is 5553510397. The next prime is 5553510401. The reversal of 5553510400 is 40153555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5553510401) 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 11 ways as a sum of consecutive naturals, for example, 4044114 + ... + 4045486.

It is an arithmetic number, because the mean of its divisors is an integer number (96901350).

Almost surely, 25553510400 is an apocalyptic number.

5553510400 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 5553510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976897200).

5553510400 is an abundant number, since it is smaller than the sum of its proper divisors (8400284000).

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

5553510400 is a wasteful number, since it uses less digits than its factorization.

5553510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 5553510400 is about 74521.8786666037. The cubic root of 5553510400 is about 1770.8802584228.

Adding to 5553510400 its reverse (40153555), we get a palindrome (5593663955).

The spelling of 5553510400 in words is "five billion, five hundred fifty-three million, five hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 128 158 160 200 256 316 320 395 400 512 632 640 790 800 1024 1264 1280 1373 1580 1600 1975 2048 2528 2560 2746 3160 3200 3950 5056 5120 5492 6320 6400 6865 7900 10112 10240 10984 12640 12800 13730 15800 20224 21968 25280 25600 27460 31600 34325 40448 43936 50560 51200 54920 63200 68650 80896 87872 101120 108467 109840 126400 137300 161792 175744 202240 216934 219680 252800 274600 351488 404480 433868 439360 505600 542335 549200 702976 808960 867736 878720 1011200 1084670 1098400 1405952 1735472 1757440 2022400 2169340 2196800 2711675 2811904 3470944 3514880 4044800 4338680 4393600 5423350 6941888 7029760 8677360 8787200 10846700 13883776 14059520 17354720 17574400 21693400 27767552 34709440 35148800 43386800 55535104 69418880 70297600 86773600 111070208 138837760 173547200 222140416 277675520 347094400 555351040 694188800 1110702080 1388377600 2776755200 5553510400