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40945408 = 28773313
BaseRepresentation
bin1001110000110…
…0011100000000
32212001020112121
42130030130000
540440223113
64021334024
71005013240
oct234143400
985036477
1040945408
1121126989
1211867314
138637c6a
14561bb20
1538dbe8d
hex270c700

40945408 has 72 divisors (see below), whose sum is σ = 94988768. Its totient is φ = 17252352.

The previous prime is 40945397. The next prime is 40945409. The reversal of 40945408 is 80454904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40945409) 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, 130660 + ... + 130972.

Almost surely, 240945408 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 40945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47494384).

40945408 is an abundant number, since it is smaller than the sum of its proper divisors (54043360).

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

40945408 is an equidigital number, since it uses as much as digits as its factorization.

40945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 40945408 is about 6398.8598984507. The cubic root of 40945408 is about 344.6686112841.

The spelling of 40945408 in words is "forty million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 313 448 511 584 626 896 1022 1168 1252 1792 2044 2191 2336 2504 4088 4382 4672 5008 8176 8764 9344 10016 16352 17528 18688 20032 22849 32704 35056 40064 45698 65408 70112 80128 91396 130816 140224 159943 182792 280448 319886 365584 560896 639772 731168 1279544 1462336 2559088 2924672 5118176 5849344 10236352 20472704 40945408