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40626048 = 273472251
BaseRepresentation
bin1001101011111…
…0011110000000
32211110000110110
42122332132000
540400013143
64010431320
71002213201
oct232763600
984400413
1040626048
1120a28a51
1211732540
1385557a8
1455775a8
153877533
hex26be780

40626048 has 64 divisors (see below), whose sum is σ = 110257920. Its totient is φ = 13248000.

The previous prime is 40626029. The next prime is 40626059. The reversal of 40626048 is 84062604.

40626048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16923 + ... + 19173.

It is an arithmetic number, because the mean of its divisors is an integer number (1722780).

Almost surely, 240626048 is an apocalyptic number.

40626048 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 40626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55128960).

40626048 is an abundant number, since it is smaller than the sum of its proper divisors (69631872).

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

40626048 is a wasteful number, since it uses less digits than its factorization.

40626048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 40626048 is about 6373.8566033446. The cubic root of 40626048 is about 343.7701727886.

The spelling of 40626048 in words is "forty million, six hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2251 2256 3008 4502 4512 6016 6753 9004 9024 13506 18008 18048 27012 36016 54024 72032 105797 108048 144064 211594 216096 288128 317391 423188 432192 634782 846376 864384 1269564 1692752 2539128 3385504 5078256 6771008 10156512 13542016 20313024 40626048