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5757472000 = 2853725703
BaseRepresentation
bin1010101110010110…
…00000110100000000
3112212020200212210201
411113023000310000
543242403101000
62351150334544
7262450463440
oct52713006400
915766625721
105757472000
112494a40a25
1211481ba454
13709a71387
143c891a120
1523a6cc96a
hex1572c0d00

5757472000 has 144 divisors (see below), whose sum is σ = 16392160512. Its totient is φ = 1973913600.

The previous prime is 5757471977. The next prime is 5757472003. The reversal of 5757472000 is 2747575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757472003) 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, 211149 + ... + 236851.

It is an arithmetic number, because the mean of its divisors is an integer number (113834448).

Almost surely, 25757472000 is an apocalyptic number.

5757472000 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 5757472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196080256).

5757472000 is an abundant number, since it is smaller than the sum of its proper divisors (10634688512).

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

5757472000 is an equidigital number, since it uses as much as digits as its factorization.

5757472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25741 (or 25717 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 37.

The square root of 5757472000 is about 75878.0073539099. The cubic root of 5757472000 is about 1792.2996150814.

The spelling of 5757472000 in words is "five billion, seven hundred fifty-seven million, four hundred seventy-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1280 1400 1600 1750 1792 2000 2240 2800 3200 3500 4000 4480 5600 6400 7000 8000 8960 11200 14000 16000 22400 25703 28000 32000 44800 51406 56000 102812 112000 128515 179921 205624 224000 257030 359842 411248 514060 642575 719684 822496 899605 1028120 1285150 1439368 1644992 1799210 2056240 2570300 2878736 3212875 3289984 3598420 4112480 4498025 5140600 5757472 6425750 6579968 7196840 8224960 8996050 10281200 11514944 12851500 14393680 16449920 17992100 20562400 22490125 23029888 25703000 28787360 32899840 35984200 41124800 44980250 46059776 51406000 57574720 71968400 82249600 89960500 102812000 115149440 143936800 164499200 179921000 205624000 230298880 287873600 359842000 411248000 575747200 719684000 822496000 1151494400 1439368000 2878736000 5757472000