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38473920 = 263356173
BaseRepresentation
bin1001001011000…
…1000011000000
32200101200022000
42102301003000
534322131140
63452344000
7645010602
oct222610300
980350260
1038473920
111a799031
1210a75000
137c81044
145177172
15359ea30
hex24b10c0

38473920 has 224 divisors, whose sum is σ = 139842240. Its totient is φ = 9953280.

The previous prime is 38473909. The next prime is 38473921. The reversal of 38473920 is 2937483.

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

It is not an unprimeable number, because it can be changed into a prime (38473921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527004 + ... + 527076.

Almost surely, 238473920 is an apocalyptic number.

38473920 is a gapful number since it is divisible by the number (30) 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 38473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69921120).

38473920 is an abundant number, since it is smaller than the sum of its proper divisors (101368320).

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

38473920 is a wasteful number, since it uses less digits than its factorization.

38473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 38473920 is about 6202.7348806797. The cubic root of 38473920 is about 337.5894084112.

It can be divided in two parts, 38473 and 920, that added together give a palindrome (39393).

The spelling of 38473920 in words is "thirty-eight million, four hundred seventy-three thousand, nine hundred twenty".