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428037000 = 23353612339
BaseRepresentation
bin11001100000110…
…101001110001000
31002211102112101020
4121200311032020
51334034141000
6110250152440
713415153166
oct3140651610
91084375336
10428037000
111aa685596
12bb422720
136a8a9c41
1440bc2236
15278a0ba0
hex19835388

428037000 has 128 divisors (see below), whose sum is σ = 1357948800. Its totient is φ = 112224000.

The previous prime is 428036993. The next prime is 428037011. The reversal of 428037000 is 730824.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181831 + ... + 184169.

It is an arithmetic number, because the mean of its divisors is an integer number (10608975).

Almost surely, 2428037000 is an apocalyptic number.

428037000 is a gapful number since it is divisible by the number (40) 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 428037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678974400).

428037000 is an abundant number, since it is smaller than the sum of its proper divisors (929911800).

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

428037000 is a wasteful number, since it uses less digits than its factorization.

428037000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 428037000 is about 20689.0550775041. The cubic root of 428037000 is about 753.6339199530.

Adding to 428037000 its reverse (730824), we get a palindrome (428767824).

The spelling of 428037000 in words is "four hundred twenty-eight million, thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 125 150 183 200 244 250 300 305 366 375 488 500 600 610 732 750 915 1000 1220 1464 1500 1525 1830 2339 2440 3000 3050 3660 4575 4678 6100 7017 7320 7625 9150 9356 11695 12200 14034 15250 18300 18712 22875 23390 28068 30500 35085 36600 45750 46780 56136 58475 61000 70170 91500 93560 116950 140340 142679 175425 183000 233900 280680 285358 292375 350850 428037 467800 570716 584750 701700 713395 856074 877125 1141432 1169500 1403400 1426790 1712148 1754250 2140185 2339000 2853580 3424296 3508500 3566975 4280370 5707160 7017000 7133950 8560740 10700925 14267900 17121480 17834875 21401850 28535800 35669750 42803700 53504625 71339500 85607400 107009250 142679000 214018500 428037000