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40146048 = 273234849
BaseRepresentation
bin1001100100100…
…1010010000000
32210112122000200
42121021102000
540234133143
63552245200
7665143605
oct231112200
983478020
1040146048
1120730358
1211540800
138418177
1454906ac
1537d01d3
hex2649480

40146048 has 48 divisors (see below), whose sum is σ = 115527750. Its totient is φ = 13381632.

The previous prime is 40146013. The next prime is 40146053. The reversal of 40146048 is 84064104.

40146048 is a `hidden beast` number, since 40 + 14 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39841344 + 304704 = 6312^2 + 552^2 .

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

It is a super-2 number, since 2×401460482 = 3223410340036608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16273 + ... + 18576.

Almost surely, 240146048 is an apocalyptic number.

40146048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40146048 is an abundant number, since it is smaller than the sum of its proper divisors (75381702).

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

40146048 is a wasteful number, since it uses less digits than its factorization.

40146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34869 (or 34854 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40146048 is about 6336.0909084387. The cubic root of 40146048 is about 342.4109147247.

The spelling of 40146048 in words is "forty million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 34849 69698 104547 139396 209094 278792 313641 418188 557584 627282 836376 1115168 1254564 1672752 2230336 2509128 3345504 4460672 5018256 6691008 10036512 13382016 20073024 40146048