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40945440 = 253585303
BaseRepresentation
bin1001110000110…
…0011100100000
32212001020120210
42130030130200
540440223230
64021334120
71005013314
oct234143440
985036523
1040945440
1121126a08
1211867340
138637c93
14561bb44
1538dbeb0
hex270c720

40945440 has 48 divisors (see below), whose sum is σ = 128979648. Its totient is φ = 10918656.

The previous prime is 40945433. The next prime is 40945441. The reversal of 40945440 is 4454904.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40945398 and 40945407.

It is not an unprimeable number, because it can be changed into a prime (40945441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42172 + ... + 43131.

It is an arithmetic number, because the mean of its divisors is an integer number (2687076).

Almost surely, 240945440 is an apocalyptic number.

40945440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40945440 is an abundant number, since it is smaller than the sum of its proper divisors (88034208).

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

40945440 is a wasteful number, since it uses less digits than its factorization.

40945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85321 (or 85313 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 40945440 is about 6398.8623988956. The cubic root of 40945440 is about 344.6687010735.

The spelling of 40945440 in words is "forty million, nine hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 85303 170606 255909 341212 426515 511818 682424 853030 1023636 1279545 1364848 1706060 2047272 2559090 2729696 3412120 4094544 5118180 6824240 8189088 10236360 13648480 20472720 40945440