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38742948 = 2235231733
BaseRepresentation
bin1001001111001…
…0101110100100
32200220100100000
42103302232210
534404233243
63502221300
7650211126
oct223625644
980810300
1038742948
111a962172
1210b84830
13804662a
145207216
1536045d3
hex24f2ba4

38742948 has 72 divisors (see below), whose sum is σ = 106037568. Its totient is φ = 12345696.

The previous prime is 38742941. The next prime is 38742953. The reversal of 38742948 is 84924783.

38742948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38742941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21490 + ... + 23222.

It is an arithmetic number, because the mean of its divisors is an integer number (1472744).

Almost surely, 238742948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38742948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53018784).

38742948 is an abundant number, since it is smaller than the sum of its proper divisors (67294620).

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

38742948 is a wasteful number, since it uses less digits than its factorization.

38742948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1761 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38742948 is about 6224.3833429505. The cubic root of 38742948 is about 338.3744435204.

The spelling of 38742948 in words is "thirty-eight million, seven hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1733 1863 2484 3466 3726 5199 5589 6932 7452 10398 11178 15597 20796 22356 31194 39859 46791 62388 79718 93582 119577 140373 159436 187164 239154 280746 358731 421119 478308 561492 717462 842238 1076193 1434924 1684476 2152386 3228579 4304772 6457158 9685737 12914316 19371474 38742948