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40114152 = 233213172521
BaseRepresentation
bin1001100100000…
…1011111101000
32210111000021100
42121001133220
540232123102
63551441400
7664651611
oct231013750
983430240
1040114152
11207093a1
1211526260
1384067b0
145482c08
1537c5a1c
hex26417e8

40114152 has 96 divisors (see below), whose sum is σ = 123931080. Its totient is φ = 11612160.

The previous prime is 40114147. The next prime is 40114153. The reversal of 40114152 is 25141104.

It can be written as a sum of positive squares in 4 ways, for example, as 18714276 + 21399876 = 4326^2 + 4626^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40114153) 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, 14652 + ... + 17172.

Almost surely, 240114152 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 40114152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61965540).

40114152 is an abundant number, since it is smaller than the sum of its proper divisors (83816928).

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

40114152 is a wasteful number, since it uses less digits than its factorization.

40114152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 40114152 is about 6333.5733989589. The cubic root of 40114152 is about 342.3202089746.

Adding to 40114152 its reverse (25141104), we get a palindrome (65255256).

The spelling of 40114152 in words is "forty million, one hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2521 2652 3978 5042 5304 7563 7956 10084 15126 15912 20168 22689 30252 32773 42857 45378 60504 65546 85714 90756 98319 128571 131092 171428 181512 196638 257142 262184 294957 342856 385713 393276 514284 557141 589914 771426 786552 1028568 1114282 1179828 1542852 1671423 2228564 2359656 3085704 3342846 4457128 5014269 6685692 10028538 13371384 20057076 40114152