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38923248 = 24372131967
BaseRepresentation
bin1001010001111…
…0101111110000
32201020111122210
42110132233300
534431020443
63510132120
7651561600
oct224365760
981214583
1038923248
111aa75681
1211051040
1380aa710
145252c00
15363cc33
hex251ebf0

38923248 has 240 divisors, whose sum is σ = 134574720. Its totient is φ = 9580032.

The previous prime is 38923237. The next prime is 38923271. The reversal of 38923248 is 84232983.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580911 + ... + 580977.

It is an arithmetic number, because the mean of its divisors is an integer number (560728).

Almost surely, 238923248 is an apocalyptic number.

38923248 is a gapful number since it is divisible by the number (38) 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 38923248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67287360).

38923248 is an abundant number, since it is smaller than the sum of its proper divisors (95651472).

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

38923248 is a wasteful number, since it uses less digits than its factorization.

38923248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 38923248 is about 6238.8498940109. The cubic root of 38923248 is about 338.8985347350.

It can be divided in two parts, 3892 and 3248, that added together give a triangular number (7140 = T119).

The spelling of 38923248 in words is "thirty-eight million, nine hundred twenty-three thousand, two hundred forty-eight".