Search a number
-
+
401021550 = 233521272339
BaseRepresentation
bin10111111001110…
…001101001101110
31000221121000011000
4113321301221232
51310130142200
6103443141130
712636425016
oct2771615156
91027530130
10401021550
11196403476
12b23747a6
136510b577
143b38cc46
1525316300
hex17e71a6e

401021550 has 96 divisors (see below), whose sum is σ = 1114214400. Its totient is φ = 106051680.

The previous prime is 401021461. The next prime is 401021557. The reversal of 401021550 is 55120104.

401021550 is a `hidden beast` number, since 401 + 0 + 215 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401021557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170281 + ... + 172619.

It is an arithmetic number, because the mean of its divisors is an integer number (11606400).

Almost surely, 2401021550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401021550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557107200).

401021550 is an abundant number, since it is smaller than the sum of its proper divisors (713192850).

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

401021550 is a wasteful number, since it uses less digits than its factorization.

401021550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 401021550 is about 20025.5224650944. The cubic root of 401021550 is about 737.4330035856.

Adding to 401021550 its reverse (55120104), we get a palindrome (456141654).

The spelling of 401021550 in words is "four hundred one million, twenty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 127 135 150 225 254 270 381 450 635 675 762 1143 1270 1350 1905 2286 2339 3175 3429 3810 4678 5715 6350 6858 7017 9525 11430 11695 14034 17145 19050 21051 23390 28575 34290 35085 42102 57150 58475 63153 70170 85725 105255 116950 126306 171450 175425 210510 297053 315765 350850 526275 594106 631530 891159 1052550 1485265 1578825 1782318 2673477 2970530 3157650 4455795 5346954 7426325 8020431 8911590 13367385 14852650 16040862 22278975 26734770 40102155 44557950 66836925 80204310 133673850 200510775 401021550