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40442328 = 2334139449
BaseRepresentation
bin1001101001000…
…1100111011000
32211002200110000
42122101213120
540323123303
64002453000
71000516443
oct232214730
984080400
1040442328
1120912a13
1211664160
1384bcc94
14552a65a
15383cda3
hex26919d8

40442328 has 80 divisors (see below), whose sum is σ = 114345000. Its totient is φ = 13353984.

The previous prime is 40442323. The next prime is 40442341. The reversal of 40442328 is 82324404.

It is a happy number.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442323) 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, 89848 + ... + 90296.

Almost surely, 240442328 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 40442328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57172500).

40442328 is an abundant number, since it is smaller than the sum of its proper divisors (73902672).

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

40442328 is a wasteful number, since it uses less digits than its factorization.

40442328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

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

The square root of 40442328 is about 6359.4282761896. The cubic root of 40442328 is about 343.2511880225.

The spelling of 40442328 in words is "forty million, four hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 278 324 417 449 556 648 834 898 1112 1251 1347 1668 1796 2502 2694 3336 3592 3753 4041 5004 5388 7506 8082 10008 10776 11259 12123 15012 16164 22518 24246 30024 32328 36369 45036 48492 62411 72738 90072 96984 124822 145476 187233 249644 290952 374466 499288 561699 748932 1123398 1497864 1685097 2246796 3370194 4493592 5055291 6740388 10110582 13480776 20221164 40442328