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38747142 = 23272197223
BaseRepresentation
bin1001001111001…
…1110000000110
32200220120002100
42103303300012
534404402032
63502252530
7650226300
oct223636006
980816070
1038747142
111a965335
1210b87146
138048505
145208970
15360597c
hex24f3c06

38747142 has 72 divisors (see below), whose sum is σ = 98594496. Its totient is φ = 10965024.

The previous prime is 38747141. The next prime is 38747143. The reversal of 38747142 is 24174783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38747141) and next prime (38747143).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38747097 and 38747106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38747141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173643 + ... + 173865.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 238747142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38747142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49297248).

38747142 is an abundant number, since it is smaller than the sum of its proper divisors (59847354).

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

38747142 is a wasteful number, since it uses less digits than its factorization.

38747142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 38747142 is about 6224.7202346772. The cubic root of 38747142 is about 338.3866529786.

The spelling of 38747142 in words is "thirty-eight million, seven hundred forty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 197 223 294 394 441 446 591 669 882 1182 1338 1379 1561 1773 2007 2758 3122 3546 4014 4137 4683 8274 9366 9653 10927 12411 14049 19306 21854 24822 28098 28959 32781 43931 57918 65562 86877 87862 98343 131793 173754 196686 263586 307517 395379 615034 790758 922551 1845102 2152619 2767653 4305238 5535306 6457857 12915714 19373571 38747142