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38468052 = 22327236637
BaseRepresentation
bin1001001010111…
…1100111010100
32200101101020200
42102233213110
534321434202
63452300500
7644654520
oct222574724
980341220
1038468052
111a794687
1210a71730
137c7b47c
145174d80
15359ce1c
hex24af9d4

38468052 has 72 divisors (see below), whose sum is σ = 115979136. Its totient is φ = 10511424.

The previous prime is 38468051. The next prime is 38468063. The reversal of 38468052 is 25086483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38467998 and 38468016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38468051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478 + ... + 9114.

Almost surely, 238468052 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 38468052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57989568).

38468052 is an abundant number, since it is smaller than the sum of its proper divisors (77511084).

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

38468052 is a wasteful number, since it uses less digits than its factorization.

38468052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38468052 is about 6202.2618454883. The cubic root of 38468052 is about 337.5722446167.

The spelling of 38468052 in words is "thirty-eight million, four hundred sixty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 6637 13274 19911 26548 39822 46459 59733 79644 92918 119466 139377 152651 185836 238932 278754 305302 418131 457953 557508 610604 836262 915906 1068557 1373859 1672524 1831812 2137114 2747718 3205671 4274228 5495436 6411342 9617013 12822684 19234026 38468052