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41916672 = 2832723113
BaseRepresentation
bin1001111111100…
…1100100000000
32220212120212100
42133321210000
541212313142
64054230400
71016200020
oct237714400
986776770
1041916672
112172a686
1212055400
1388b8085
1457d1a80
153a2eb4c
hex27f9900

41916672 has 216 divisors, whose sum is σ = 145401984. Its totient is φ = 11354112.

The previous prime is 41916661. The next prime is 41916691. The reversal of 41916672 is 27661914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 370888 + ... + 371000.

Almost surely, 241916672 is an apocalyptic number.

41916672 is a gapful number since it is divisible by the number (42) 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 41916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72700992).

41916672 is an abundant number, since it is smaller than the sum of its proper divisors (103485312).

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

41916672 is a wasteful number, since it uses less digits than its factorization.

41916672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 41916672 is about 6474.3086117361. The cubic root of 41916672 is about 347.3726310640.

The spelling of 41916672 in words is "forty-one million, nine hundred sixteen thousand, six hundred seventy-two".