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40379424 = 2534110259
BaseRepresentation
bin1001101000001…
…0010000100000
32210222111011020
42122002100200
540314120144
64001245440
71000135161
oct232022040
983874136
1040379424
112087a728
1211633880
13849a467
145511768
153829419
hex2682420

40379424 has 48 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 13130240.

The previous prime is 40379401. The next prime is 40379429. The reversal of 40379424 is 42497304.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (40379429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194 + ... + 9065.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 240379424 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 40379424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

40379424 is an abundant number, since it is smaller than the sum of its proper divisors (68212416).

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

40379424 is a wasteful number, since it uses less digits than its factorization.

40379424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 40379424 is about 6354.4806239377. The cubic root of 40379424 is about 343.0731313662.

The spelling of 40379424 in words is "forty million, three hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 10259 20518 30777 41036 61554 82072 123108 164144 246216 328288 420619 492432 841238 984864 1261857 1682476 2523714 3364952 5047428 6729904 10094856 13459808 20189712 40379424