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40172112 = 2434139223
BaseRepresentation
bin1001100100111…
…1101001010000
32210120221210000
42121033221100
540241001422
63553010000
7665312601
oct231175120
983527700
1040172112
11207489a2
1211553900
138426ca6
145499da8
1537d7cac
hex264fa50

40172112 has 100 divisors (see below), whose sum is σ = 117631360. Its totient is φ = 13234752.

The previous prime is 40172107. The next prime is 40172117. The reversal of 40172112 is 21127104.

It is an interprime number because it is at equal distance from previous prime (40172107) and next prime (40172117).

It is a super-2 number, since 2×401721122 = 3227597165081088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40172117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180033 + ... + 180255.

Almost surely, 240172112 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 40172112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58815680).

40172112 is an abundant number, since it is smaller than the sum of its proper divisors (77459248).

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

40172112 is a wasteful number, since it uses less digits than its factorization.

40172112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 40172112 is about 6338.1473633862. The cubic root of 40172112 is about 342.4849997871.

Adding to 40172112 its reverse (21127104), we get a palindrome (61299216).

The spelling of 40172112 in words is "forty million, one hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 223 278 324 417 432 446 556 648 669 834 892 1112 1251 1296 1338 1668 1784 2007 2224 2502 2676 3336 3568 3753 4014 5004 5352 6021 6672 7506 8028 10008 10704 11259 12042 15012 16056 18063 20016 22518 24084 30024 30997 32112 36126 45036 48168 60048 61994 72252 90072 92991 96336 123988 144504 180144 185982 247976 278973 289008 371964 495952 557946 743928 836919 1115892 1487856 1673838 2231784 2510757 3347676 4463568 5021514 6695352 10043028 13390704 20086056 40172112