Search a number
-
+
38063360 = 285131227
BaseRepresentation
bin1001000100110…
…0110100000000
32122121211010002
42101030310000
534221011420
63435455132
7641350616
oct221146400
978554102
1038063360
111a538625
12108b74a8
137b691ca
1450ab6b6
15351d075
hex244cd00

38063360 has 72 divisors (see below), whose sum is σ = 92274336. Its totient is φ = 15042560.

The previous prime is 38063351. The next prime is 38063369. The reversal of 38063360 is 6336083.

It is an interprime number because it is at equal distance from previous prime (38063351) and next prime (38063369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38063369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167567 + ... + 167793.

It is an arithmetic number, because the mean of its divisors is an integer number (1281588).

Almost surely, 238063360 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 38063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46137168).

38063360 is an abundant number, since it is smaller than the sum of its proper divisors (54210976).

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

38063360 is a wasteful number, since it uses less digits than its factorization.

38063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 38063360 is about 6169.5510371501. The cubic root of 38063360 is about 336.3842919781.

The spelling of 38063360 in words is "thirty-eight million, sixty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 227 256 262 320 454 524 640 655 908 1048 1135 1280 1310 1816 2096 2270 2620 3632 4192 4540 5240 7264 8384 9080 10480 14528 16768 18160 20960 29056 29737 33536 36320 41920 58112 59474 72640 83840 118948 145280 148685 167680 237896 290560 297370 475792 594740 951584 1189480 1903168 2378960 3806336 4757920 7612672 9515840 19031680 38063360