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38750400 = 2634521323
BaseRepresentation
bin1001001111010…
…0100011000000
32200220201120000
42103310203000
534410003100
63502320000
7650241633
oct223644300
980821500
1038750400
111a967827
1210b89000
138049b40
145209c1a
153606900
hex24f48c0

38750400 has 420 divisors, whose sum is σ = 160062672. Its totient is φ = 9123840.

The previous prime is 38750389. The next prime is 38750407. The reversal of 38750400 is 405783.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38750407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684789 + ... + 1684811.

Almost surely, 238750400 is an apocalyptic number.

38750400 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 38750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80031336).

38750400 is an abundant number, since it is smaller than the sum of its proper divisors (121312272).

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

38750400 is a wasteful number, since it uses less digits than its factorization.

38750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38750400 is about 6224.9819276846. The cubic root of 38750400 is about 338.3961369711.

The spelling of 38750400 in words is "thirty-eight million, seven hundred fifty thousand, four hundred".