Search a number
-
+
147856050 = 23352313533
BaseRepresentation
bin10001101000000…
…01101010110010
3101022012212101000
420310001222302
5300322343200
622401022430
73443520126
oct1064015262
9338185330
10147856050
1176508491
1241624a16
132482b0b4
14158cb586
15cea9300
hex8d01ab2

147856050 has 96 divisors (see below), whose sum is σ = 420687360. Its totient is φ = 38145600.

The previous prime is 147856039. The next prime is 147856063. The reversal of 147856050 is 50658741.

147856050 is a `hidden beast` number, since 1 + 47 + 8 + 5 + 605 + 0 = 666.

It is a super-2 number, since 2×1478560502 = 43722823043205000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147855996 and 147856014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40084 + ... + 43616.

It is an arithmetic number, because the mean of its divisors is an integer number (4382160).

Almost surely, 2147856050 is an apocalyptic number.

147856050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147856050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

147856050 is an abundant number, since it is smaller than the sum of its proper divisors (272831310).

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

147856050 is a wasteful number, since it uses less digits than its factorization.

147856050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 147856050 is about 12159.6073127384. The cubic root of 147856050 is about 528.7856975044.

The spelling of 147856050 in words is "one hundred forty-seven million, eight hundred fifty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 135 150 155 186 225 270 279 310 450 465 558 675 775 837 930 1350 1395 1550 1674 2325 2790 3533 4185 4650 6975 7066 8370 10599 13950 17665 20925 21198 31797 35330 41850 52995 63594 88325 95391 105990 109523 158985 176650 190782 219046 264975 317970 328569 476955 529950 547615 657138 794925 953910 985707 1095230 1589850 1642845 1971414 2384775 2738075 2957121 3285690 4769550 4928535 5476150 5914242 8214225 9857070 14785605 16428450 24642675 29571210 49285350 73928025 147856050