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40484232 = 23332329281
BaseRepresentation
bin1001101001101…
…1110110001000
32211011210221000
42122123312020
540330443412
64003415000
71001052555
oct232336610
984153830
1040484232
1120941448
1211684460
138506089
14553ba2c
15384a4dc
hex269bd88

40484232 has 128 divisors (see below), whose sum is σ = 121824000. Its totient is φ = 12418560.

The previous prime is 40484221. The next prime is 40484237. The reversal of 40484232 is 23248404.

It is a happy number.

40484232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40484196 and 40484205.

It is not an unprimeable number, because it can be changed into a prime (40484237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143932 + ... + 144212.

It is an arithmetic number, because the mean of its divisors is an integer number (951750).

Almost surely, 240484232 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 40484232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60912000).

40484232 is an abundant number, since it is smaller than the sum of its proper divisors (81339768).

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

40484232 is a wasteful number, since it uses less digits than its factorization.

40484232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 40484232 is about 6362.7220589933. The cubic root of 40484232 is about 343.3696994397.

The spelling of 40484232 in words is "forty million, four hundred eighty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 29 36 46 54 58 69 72 87 92 108 116 138 174 184 207 216 232 261 276 281 348 414 522 552 562 621 667 696 783 828 843 1044 1124 1242 1334 1566 1656 1686 2001 2088 2248 2484 2529 2668 3132 3372 4002 4968 5058 5336 6003 6264 6463 6744 7587 8004 8149 10116 12006 12926 15174 16008 16298 18009 19389 20232 24012 24447 25852 30348 32596 36018 38778 48024 48894 51704 58167 60696 65192 72036 73341 77556 97788 116334 144072 146682 155112 174501 187427 195576 220023 232668 293364 349002 374854 440046 465336 562281 586728 698004 749708 880092 1124562 1396008 1499416 1686843 1760184 2249124 3373686 4498248 5060529 6747372 10121058 13494744 20242116 40484232