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38741976 = 233671373
BaseRepresentation
bin1001001111001…
…0011111011000
32200220022000000
42103302133120
534404220401
63502213000
7650205240
oct223623730
980808000
1038741976
111a961469
1210b84160
138046060
145206b20
153604186
hex24f27d8

38741976 has 224 divisors, whose sum is σ = 135881760. Its totient is φ = 10077696.

The previous prime is 38741957. The next prime is 38741981. The reversal of 38741976 is 67914783.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (254016) is a multiple of the sum of its prime divisors (98).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 530676 + ... + 530748.

It is an arithmetic number, because the mean of its divisors is an integer number (606615).

Almost surely, 238741976 is an apocalyptic number.

38741976 is a gapful number since it is divisible by the number (36) 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 38741976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67940880).

38741976 is an abundant number, since it is smaller than the sum of its proper divisors (97139784).

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

38741976 is a wasteful number, since it uses less digits than its factorization.

38741976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 38741976 is about 6224.3052624369. The cubic root of 38741976 is about 338.3716137348.

The spelling of 38741976 in words is "thirty-eight million, seven hundred forty-one thousand, nine hundred seventy-six".