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381431550 = 2352171011481
BaseRepresentation
bin10110101111000…
…010111011111110
3222120201201201110
4112233002323332
51240121302200
6101503222450
712311054223
oct2657027376
9876651643
10381431550
11186343195
12a78a7a26
136103c956
143892d94a
1523746b50
hex16bc2efe

381431550 has 96 divisors (see below), whose sum is σ = 1012194144. Its totient is φ = 94720000.

The previous prime is 381431539. The next prime is 381431581. The reversal of 381431550 is 55134183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256810 + ... + 258290.

It is an arithmetic number, because the mean of its divisors is an integer number (10543689).

Almost surely, 2381431550 is an apocalyptic number.

381431550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381431550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506097072).

381431550 is an abundant number, since it is smaller than the sum of its proper divisors (630762594).

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

381431550 is a wasteful number, since it uses less digits than its factorization.

381431550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 381431550 is about 19530.2726555468. The cubic root of 381431550 is about 725.2240607510.

It can be divided in two parts, 38143 and 1550, that added together give a palindrome (39693).

The spelling of 381431550 in words is "three hundred eighty-one million, four hundred thirty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 101 102 150 170 202 255 303 425 505 510 606 850 1010 1275 1481 1515 1717 2525 2550 2962 3030 3434 4443 5050 5151 7405 7575 8585 8886 10302 14810 15150 17170 22215 25177 25755 37025 42925 44430 50354 51510 74050 75531 85850 111075 125885 128775 149581 151062 222150 251770 257550 299162 377655 448743 629425 747905 755310 897486 1258850 1495810 1888275 2243715 2542877 3739525 3776550 4487430 5085754 7479050 7628631 11218575 12714385 15257262 22437150 25428770 38143155 63571925 76286310 127143850 190715775 381431550