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40921272 = 2332731657
BaseRepresentation
bin1001110000011…
…0100010111000
32212000000102200
42130012202320
540433440042
64021030200
71004553000
oct234064270
985000380
1040921272
112110a837
1211855360
138629c92
145613000
1538d4c4c
hex27068b8

40921272 has 96 divisors (see below), whose sum is σ = 129324000. Its totient is φ = 11684736.

The previous prime is 40921249. The next prime is 40921273. The reversal of 40921272 is 27212904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40921273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23868 + ... + 25524.

It is an arithmetic number, because the mean of its divisors is an integer number (1347125).

Almost surely, 240921272 is an apocalyptic number.

40921272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40921272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64662000).

40921272 is an abundant number, since it is smaller than the sum of its proper divisors (88402728).

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

40921272 is a wasteful number, since it uses less digits than its factorization.

40921272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40921272 is about 6396.9736594737. The cubic root of 40921272 is about 344.6008742889.

The spelling of 40921272 in words is "forty million, nine hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1657 1764 2058 2744 3087 3314 3528 4116 4971 6174 6628 8232 9942 11599 12348 13256 14913 19884 23198 24696 29826 34797 39768 46396 59652 69594 81193 92792 104391 119304 139188 162386 208782 243579 278376 324772 417564 487158 568351 649544 730737 835128 974316 1136702 1461474 1705053 1948632 2273404 2922948 3410106 4546808 5115159 5845896 6820212 10230318 13640424 20460636 40921272