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5606428200 = 2335215975851
BaseRepresentation
bin1010011100010101…
…10100111000101000
3112110201111001122220
411032022310320220
542440221200300
62324153114040
7255634565502
oct51612647050
915421431586
105606428200
11241775653a
1211056b8920
136b4698349
143b283cd72
1522c2e3da0
hex14e2b4e28

5606428200 has 96 divisors (see below), whose sum is σ = 17393782560. Its totient is φ = 1493856000.

The previous prime is 5606428171. The next prime is 5606428207. The reversal of 5606428200 is 28246065.

It is not an unprimeable number, because it can be changed into a prime (5606428207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955275 + ... + 961125.

It is an arithmetic number, because the mean of its divisors is an integer number (181185235).

Almost surely, 25606428200 is an apocalyptic number.

5606428200 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 5606428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696891280).

5606428200 is an abundant number, since it is smaller than the sum of its proper divisors (11787354360).

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

5606428200 is a wasteful number, since it uses less digits than its factorization.

5606428200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7467 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5606428200 is about 74876.0856348674. The cubic root of 5606428200 is about 1776.4872227688.

The spelling of 5606428200 in words is "five billion, six hundred six million, four hundred twenty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1597 3194 4791 5851 6388 7985 9582 11702 12776 15970 17553 19164 23404 23955 29255 31940 35106 38328 39925 46808 47910 58510 63880 70212 79850 87765 95820 117020 119775 140424 146275 159700 175530 191640 234040 239550 292550 319400 351060 438825 479100 585100 702120 877650 958200 1170200 1755300 3510600 9344047 18688094 28032141 37376188 46720235 56064282 74752376 93440470 112128564 140160705 186880940 224257128 233601175 280321410 373761880 467202350 560642820 700803525 934404700 1121285640 1401607050 1868809400 2803214100 5606428200