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41978496 = 273722397
BaseRepresentation
bin1010000000100…
…0101010000000
32220222201200010
42200020222000
541221302441
64055424520
71016545200
oct240105200
986881603
1041978496
112177207a
1212085140
13890a261
14580a400
153a43116
hex2808a80

41978496 has 192 divisors, whose sum is σ = 136745280. Its totient is φ = 11354112.

The previous prime is 41978479. The next prime is 41978501. The reversal of 41978496 is 69487914.

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432720 + ... + 432816.

It is an arithmetic number, because the mean of its divisors is an integer number (712215).

Almost surely, 241978496 is an apocalyptic number.

41978496 is a gapful number since it is divisible by the number (46) 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 41978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

41978496 is an abundant number, since it is smaller than the sum of its proper divisors (94766784).

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

41978496 is a wasteful number, since it uses less digits than its factorization.

41978496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 41978496 is about 6479.0814163738. The cubic root of 41978496 is about 347.5433301730.

The spelling of 41978496 in words is "forty-one million, nine hundred seventy-eight thousand, four hundred ninety-six".