[go: up one dir, main page]

Search a number
-
+
40458348 = 22327315179
BaseRepresentation
bin1001101001010…
…1100001101100
32211010111102100
42122111201230
540324131343
64003055100
71000614240
oct232254154
984114370
1040458348
1120923a57
1211671490
1384c7368
145532420
1538429d3
hex269586c

40458348 has 72 divisors (see below), whose sum is σ = 120673280. Its totient is φ = 11184480.

The previous prime is 40458347. The next prime is 40458361. The reversal of 40458348 is 84385404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40458347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5223 + ... + 10401.

Almost surely, 240458348 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 40458348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60336640).

40458348 is an abundant number, since it is smaller than the sum of its proper divisors (80214932).

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

40458348 is a wasteful number, since it uses less digits than its factorization.

40458348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 40458348 is about 6360.6876986691. The cubic root of 40458348 is about 343.2965048839.

The spelling of 40458348 in words is "forty million, four hundred fifty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 5179 7812 10358 15537 20716 31074 36253 46611 62148 72506 93222 108759 145012 160549 186444 217518 321098 326277 435036 481647 642196 652554 963294 1123843 1305108 1444941 1926588 2247686 2889882 3371529 4495372 5779764 6743058 10114587 13486116 20229174 40458348