Search a number
-
+
40228974 = 234298563
BaseRepresentation
bin1001100101110…
…1100001101110
32210200211210000
42121131201232
540244311344
63554125130
7665640432
oct231354156
983624700
1040228974
1120787695
12115807a6
138446b36
1454b29c2
1537e9a69
hex265d86e

40228974 has 40 divisors (see below), whose sum is σ = 93261960. Its totient is φ = 12945744.

The previous prime is 40228949. The next prime is 40228999. The reversal of 40228974 is 47982204.

It is an interprime number because it is at equal distance from previous prime (40228949) and next prime (40228999).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 417 + ... + 8979.

It is an arithmetic number, because the mean of its divisors is an integer number (2331549).

Almost surely, 240228974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40228974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46630980).

40228974 is an abundant number, since it is smaller than the sum of its proper divisors (53032986).

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

40228974 is a wasteful number, since it uses less digits than its factorization.

40228974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40228974 is about 6342.6314728195. The cubic root of 40228974 is about 342.6465148274.

It can be divided in two parts, 4022 and 8974, that added together give a square (12996 = 1142).

The spelling of 40228974 in words is "forty million, two hundred twenty-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 8563 17126 25689 51378 77067 154134 231201 248327 462402 496654 693603 744981 1387206 1489962 2234943 4469886 6704829 13409658 20114487 40228974