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5627745000 = 23335441687
BaseRepresentation
bin1010011110111000…
…01001001011101000
3112112012121001211000
411033130021023220
543011200320000
62330234035000
7256314020553
oct51734111350
915465531730
105627745000
112428796129
121110878a60
136b8c1cc37
143b55cb69a
1522e105000
hex14f7092e8

5627745000 has 160 divisors (see below), whose sum is σ = 19534996800. Its totient is φ = 1500696000.

The previous prime is 5627744977. The next prime is 5627745001. The reversal of 5627745000 is 5477265.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5627745001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114157 + ... + 155843.

It is an arithmetic number, because the mean of its divisors is an integer number (122093730).

Almost surely, 25627745000 is an apocalyptic number.

5627745000 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 5627745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767498400).

5627745000 is an abundant number, since it is smaller than the sum of its proper divisors (13907251800).

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

5627745000 is a wasteful number, since it uses less digits than its factorization.

5627745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41722 (or 41697 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5627745000 is about 75018.2977679446. The cubic root of 5627745000 is about 1778.7358991881.

The spelling of 5627745000 in words is "five billion, six hundred twenty-seven million, seven hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 625 675 750 900 1000 1080 1125 1250 1350 1500 1800 1875 2250 2500 2700 3000 3375 3750 4500 5000 5400 5625 6750 7500 9000 11250 13500 15000 16875 22500 27000 33750 41687 45000 67500 83374 125061 135000 166748 208435 250122 333496 375183 416870 500244 625305 750366 833740 1000488 1042175 1125549 1250610 1500732 1667480 1875915 2084350 2251098 2501220 3001464 3126525 3751830 4168700 4502196 5002440 5210875 5627745 6253050 7503660 8337400 9004392 9379575 10421750 11255490 12506100 15007320 15632625 18759150 20843500 22510980 25012200 26054375 28138725 31265250 37518300 41687000 45021960 46897875 52108750 56277450 62530500 75036600 78163125 93795750 104217500 112554900 125061000 140693625 156326250 187591500 208435000 225109800 234489375 281387250 312652500 375183000 468978750 562774500 625305000 703468125 937957500 1125549000 1406936250 1875915000 2813872500 5627745000