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40040448 = 21137319
BaseRepresentation
bin1001100010111…
…1100000000000
32210100021011120
42120233200000
540222243243
63550112240
7664224000
oct230574000
983307146
1040040448
1120668a88
12114ab680
1383ac096
145464000
1537adc83
hex262f800

40040448 has 192 divisors, whose sum is σ = 131040000. Its totient is φ = 10838016.

The previous prime is 40040411. The next prime is 40040471. The reversal of 40040448 is 84404004.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107383 + ... + 2107401.

It is an arithmetic number, because the mean of its divisors is an integer number (682500).

Almost surely, 240040448 is an apocalyptic number.

40040448 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 40040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520000).

40040448 is an abundant number, since it is smaller than the sum of its proper divisors (90999552).

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

40040448 is an equidigital number, since it uses as much as digits as its factorization.

40040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 40040448 is about 6327.7522075378. The cubic root of 40040448 is about 342.1104256802.

The spelling of 40040448 in words is "forty million, forty thousand, four hundred forty-eight".