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38938440 = 23351312477
BaseRepresentation
bin1001010010001…
…0011101001000
32201021021111110
42110202131020
534432012230
63510330320
7651654102
oct224423510
981237443
1038938440
111aa86032
12110599a0
1380b45c8
145258572
1536424b0
hex2522748

38938440 has 64 divisors (see below), whose sum is σ = 117754560. Its totient is φ = 10300160.

The previous prime is 38938439. The next prime is 38938441. The reversal of 38938440 is 4483983.

It is an interprime number because it is at equal distance from previous prime (38938439) and next prime (38938441).

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

It is not an unprimeable number, because it can be changed into a prime (38938441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14482 + ... + 16958.

It is an arithmetic number, because the mean of its divisors is an integer number (1839915).

Almost surely, 238938440 is an apocalyptic number.

38938440 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 38938440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58877280).

38938440 is an abundant number, since it is smaller than the sum of its proper divisors (78816120).

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

38938440 is a wasteful number, since it uses less digits than its factorization.

38938440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2618 counting only the distinct ones).

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

The square root of 38938440 is about 6240.0673073293. The cubic root of 38938440 is about 338.9426204430.

The spelling of 38938440 in words is "thirty-eight million, nine hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2477 2620 3144 3930 4954 5240 7431 7860 9908 12385 14862 15720 19816 24770 29724 37155 49540 59448 74310 99080 148620 297240 324487 648974 973461 1297948 1622435 1946922 2595896 3244870 3893844 4867305 6489740 7787688 9734610 12979480 19469220 38938440