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40828928 = 216789
BaseRepresentation
bin1001101111000…
…0000000000000
32211211022202112
42123300000000
540423011203
64015034452
71004016530
oct233600000
984738675
1040828928
1121057418
121180ba28
1385c6c3a
1455cb4c0
1538b76d8
hex26f0000

40828928 has 68 divisors (see below), whose sum is σ = 94371120. Its totient is φ = 17301504.

The previous prime is 40828927. The next prime is 40828937. The reversal of 40828928 is 82982804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40828927) 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 3 ways as a sum of consecutive naturals, for example, 458708 + ... + 458796.

Almost surely, 240828928 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 40828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47185560).

40828928 is an abundant number, since it is smaller than the sum of its proper divisors (53542192).

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

40828928 is an frugal number, since it uses more digits than its factorization.

40828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 40828928 is about 6389.7517948665. The cubic root of 40828928 is about 344.3414673164.

The spelling of 40828928 in words is "forty million, eight hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 256 356 448 512 623 712 896 1024 1246 1424 1792 2048 2492 2848 3584 4096 4984 5696 7168 8192 9968 11392 14336 16384 19936 22784 28672 32768 39872 45568 57344 65536 79744 91136 114688 159488 182272 229376 318976 364544 458752 637952 729088 1275904 1458176 2551808 2916352 5103616 5832704 10207232 20414464 40828928