Search a number
-
+
401883000 = 233531091229
BaseRepresentation
bin10111111101000…
…011111101111000
31001000012202211120
4113331003331320
51310340224000
6103513425240
712646643361
oct2775037570
91030182746
10401883000
11196941712
12b270b220
13653506bc
143b534b68
15254366a0
hex17f43f78

401883000 has 128 divisors (see below), whose sum is σ = 1266408000. Its totient is φ = 106099200.

The previous prime is 401882981. The next prime is 401883007. The reversal of 401883000 is 388104.

401883000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401883007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326386 + ... + 327614.

Almost surely, 2401883000 is an apocalyptic number.

401883000 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 401883000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633204000).

401883000 is an abundant number, since it is smaller than the sum of its proper divisors (864525000).

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

401883000 is a wasteful number, since it uses less digits than its factorization.

401883000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 401883000 is about 20047.0197286280. The cubic root of 401883000 is about 737.9606621169.

The spelling of 401883000 in words is "four hundred one million, eight hundred eighty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 125 150 200 218 250 300 327 375 436 500 545 600 654 750 872 1000 1090 1229 1308 1500 1635 2180 2458 2616 2725 3000 3270 3687 4360 4916 5450 6145 6540 7374 8175 9832 10900 12290 13080 13625 14748 16350 18435 21800 24580 27250 29496 30725 32700 36870 40875 49160 54500 61450 65400 73740 81750 92175 109000 122900 133961 147480 153625 163500 184350 245800 267922 307250 327000 368700 401883 460875 535844 614500 669805 737400 803766 921750 1071688 1229000 1339610 1607532 1843500 2009415 2679220 3215064 3349025 3687000 4018830 5358440 6698050 8037660 10047075 13396100 16075320 16745125 20094150 26792200 33490250 40188300 50235375 66980500 80376600 100470750 133961000 200941500 401883000