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440172420 = 223553971427
BaseRepresentation
bin11010001111000…
…111111110000100
31010200021002001020
4122033013332010
51400141004140
6111402231140
713623255342
oct3217077604
91120232036
10440172420
11206514066
121034b54b0
137026876c
1442660992
152899b6d0
hex1a3c7f84

440172420 has 96 divisors (see below), whose sum is σ = 1269571968. Its totient is φ = 113897472.

The previous prime is 440172419. The next prime is 440172431. The reversal of 440172420 is 24271044.

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, 307747 + ... + 309173.

It is an arithmetic number, because the mean of its divisors is an integer number (13224708).

Almost surely, 2440172420 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 440172420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634785984).

440172420 is an abundant number, since it is smaller than the sum of its proper divisors (829399548).

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

440172420 is a wasteful number, since it uses less digits than its factorization.

440172420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 440172420 is about 20980.2864613427. The cubic root of 440172420 is about 760.6898284300.

The spelling of 440172420 in words is "four hundred forty million, one hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 97 106 159 194 212 265 291 318 388 485 530 582 636 795 970 1060 1164 1427 1455 1590 1940 2854 2910 3180 4281 5141 5708 5820 7135 8562 10282 14270 15423 17124 20564 21405 25705 28540 30846 42810 51410 61692 75631 77115 85620 102820 138419 151262 154230 226893 276838 302524 308460 378155 415257 453786 553676 692095 756310 830514 907572 1134465 1384190 1512620 1661028 2076285 2268930 2768380 4152570 4537860 7336207 8305140 14672414 22008621 29344828 36681035 44017242 73362070 88034484 110043105 146724140 220086210 440172420