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382408540 = 225172514481
BaseRepresentation
bin10110110010110…
…001011101011100
3222122120100220021
4112302301131130
51240344033130
6101540201524
712322263463
oct2662613534
9878510807
10382408540
11186950218
12a80992a4
13612c2557
1438b059da
152388b37a
hex16cb175c

382408540 has 48 divisors (see below), whose sum is σ = 853874784. Its totient is φ = 143360000.

The previous prime is 382408531. The next prime is 382408553. The reversal of 382408540 is 45804283.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 382408496 and 382408505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83100 + ... + 87580.

It is an arithmetic number, because the mean of its divisors is an integer number (17789058).

Almost surely, 2382408540 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 382408540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426937392).

382408540 is an abundant number, since it is smaller than the sum of its proper divisors (471466244).

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

382408540 is a wasteful number, since it uses less digits than its factorization.

382408540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 382408540 is about 19555.2688552216. The cubic root of 382408540 is about 725.8427235852.

The spelling of 382408540 in words is "three hundred eighty-two million, four hundred eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 340 502 1004 1255 2510 4267 4481 5020 8534 8962 17068 17924 21335 22405 42670 44810 76177 85340 89620 152354 304708 380885 761770 1124731 1523540 2249462 4498924 5623655 11247310 19120427 22494620 38240854 76481708 95602135 191204270 382408540