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388894000 = 24531121607
BaseRepresentation
bin10111001011100…
…000110100110000
31000002202212021111
4113023200310300
51244024102000
6102331203104
712431354515
oct2713406460
91002685244
10388894000
1118a57a900
12aa2a6494
13627534c1
143991330c
152421ccba
hex172e0d30

388894000 has 120 divisors (see below), whose sum is σ = 1034246304. Its totient is φ = 141328000.

The previous prime is 388893991. The next prime is 388894001. The reversal of 388894000 is 498883.

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

It is not an unprimeable number, because it can be changed into a prime (388894001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241197 + ... + 242803.

Almost surely, 2388894000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517123152).

388894000 is an abundant number, since it is smaller than the sum of its proper divisors (645352304).

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

388894000 is a wasteful number, since it uses less digits than its factorization.

388894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 388894000 is about 19720.3955335587. The cubic root of 388894000 is about 729.9230543781.

The spelling of 388894000 in words is "three hundred eighty-eight million, eight hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1607 1936 2000 2200 2420 2750 3025 3214 4400 4840 5500 6050 6428 8035 9680 11000 12100 12856 15125 16070 17677 22000 24200 25712 30250 32140 35354 40175 48400 60500 64280 70708 80350 88385 121000 128560 141416 160700 176770 194447 200875 242000 282832 321400 353540 388894 401750 441925 642800 707080 777788 803500 883850 972235 1414160 1555576 1607000 1767700 1944470 2209625 3111152 3214000 3535400 3888940 4419250 4861175 7070800 7777880 8838500 9722350 15555760 17677000 19444700 24305875 35354000 38889400 48611750 77778800 97223500 194447000 388894000