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40854528 = 21032111331
BaseRepresentation
bin1001101111011…
…0010000000000
32211212121212200
42123312100000
540424321103
64015353200
71004154261
oct233662000
984777780
1040854528
1121074680
1211822800
1386057a0
1455d6968
1538c00a3
hex26f6400

40854528 has 264 divisors, whose sum is σ = 143060736. Its totient is φ = 11059200.

The previous prime is 40854521. The next prime is 40854529. The reversal of 40854528 is 82545804.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40854492 and 40854501.

It is not an unprimeable number, because it can be changed into a prime (40854521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317873 + ... + 1317903.

Almost surely, 240854528 is an apocalyptic number.

40854528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40854528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71530368).

40854528 is an abundant number, since it is smaller than the sum of its proper divisors (102206208).

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

40854528 is a wasteful number, since it uses less digits than its factorization.

40854528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 40854528 is about 6391.7546886594. The cubic root of 40854528 is about 344.4134203838.

The spelling of 40854528 in words is "forty million, eight hundred fifty-four thousand, five hundred twenty-eight".