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5528819200 = 2952597321
BaseRepresentation
bin1010010011000101…
…10001011000000000
3112021022110010010111
411021202301120000
542310334203300
62312341441104
7254003121262
oct51142613000
915238403114
105528819200
112387968773
1210a3710194
136a1594368
143a63d9b32
152255b39ba
hex1498b1600

5528819200 has 120 divisors (see below), whose sum is σ = 13932155160. Its totient is φ = 2173747200.

The previous prime is 5528819159. The next prime is 5528819201. The reversal of 5528819200 is 29188255.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5528819201) 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, 751540 + ... + 758860.

It is an arithmetic number, because the mean of its divisors is an integer number (116101293).

Almost surely, 25528819200 is an apocalyptic number.

5528819200 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 5528819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966077580).

5528819200 is an abundant number, since it is smaller than the sum of its proper divisors (8403335960).

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

5528819200 is an equidigital number, since it uses as much as digits as its factorization.

5528819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 5528819200 is about 74356.0300177464. The cubic root of 5528819200 is about 1768.2518836068.

The spelling of 5528819200 in words is "five billion, five hundred twenty-eight million, eight hundred nineteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 128 160 200 236 256 295 320 400 472 512 590 640 800 944 1180 1280 1475 1600 1888 2360 2560 2950 3200 3776 4720 5900 6400 7321 7552 9440 11800 12800 14642 15104 18880 23600 29284 30208 36605 37760 47200 58568 73210 75520 94400 117136 146420 151040 183025 188800 234272 292840 366050 377600 431939 468544 585680 732100 755200 863878 937088 1171360 1464200 1727756 1874176 2159695 2342720 2928400 3455512 3748352 4319390 4685440 5856800 6911024 8638780 9370880 10798475 11713600 13822048 17277560 18741760 21596950 23427200 27644096 34555120 43193900 46854400 55288192 69110240 86387800 93708800 110576384 138220480 172775600 221152768 276440960 345551200 552881920 691102400 1105763840 1382204800 2764409600 5528819200