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40442700 = 223521131193
BaseRepresentation
bin1001101001000…
…1101101001100
32211002200221210
42122101231030
540323131300
64002454420
71000520514
oct232215514
984080853
1040442700
1120913221
1211664410
1384c01bc
14552a844
15383d050
hex2691b4c

40442700 has 72 divisors (see below), whose sum is σ = 118148688. Its totient is φ = 10680320.

The previous prime is 40442669. The next prime is 40442737. The reversal of 40442700 is 724404.

It is a super-2 number, since 2×404427002 = 3271223966580000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33304 + ... + 34496.

It is an arithmetic number, because the mean of its divisors is an integer number (1640954).

Almost surely, 240442700 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 40442700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59074344).

40442700 is an abundant number, since it is smaller than the sum of its proper divisors (77705988).

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

40442700 is a wasteful number, since it uses less digits than its factorization.

40442700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 40442700 is about 6359.4575240346. The cubic root of 40442700 is about 343.2522404598.

The spelling of 40442700 in words is "forty million, four hundred forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1193 1356 1695 2260 2386 2825 3390 3579 4772 5650 5965 6780 7158 8475 11300 11930 14316 16950 17895 23860 29825 33900 35790 59650 71580 89475 119300 134809 178950 269618 357900 404427 539236 674045 808854 1348090 1617708 2022135 2696180 3370225 4044270 6740450 8088540 10110675 13480900 20221350 40442700