Search a number
-
+
147978738 = 235437397
BaseRepresentation
bin10001101000111…
…11100111110010
3101022110002200000
420310133213302
5300340304423
622403410430
73444540615
oct1064374762
9338402600
10147978738
1176591686
1241683a16
1324871bab
141592017c
15ced0843
hex8d1f9f2

147978738 has 96 divisors (see below), whose sum is σ = 348444096. Its totient is φ = 47029248.

The previous prime is 147978713. The next prime is 147978739. The reversal of 147978738 is 837879741.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (147978739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1525506 + ... + 1525602.

It is an arithmetic number, because the mean of its divisors is an integer number (3629626).

Almost surely, 2147978738 is an apocalyptic number.

147978738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147978738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174222048).

147978738 is an abundant number, since it is smaller than the sum of its proper divisors (200465358).

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

147978738 is an equidigital number, since it uses as much as digits as its factorization.

147978738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 147978738 is about 12164.6511663919. The cubic root of 147978738 is about 528.9319156757.

The spelling of 147978738 in words is "one hundred forty-seven million, nine hundred seventy-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 43 54 73 81 86 97 129 146 162 194 219 243 258 291 387 438 486 582 657 774 873 1161 1314 1746 1971 2322 2619 3139 3483 3942 4171 5238 5913 6278 6966 7081 7857 8342 9417 10449 11826 12513 14162 15714 17739 18834 20898 21243 23571 25026 28251 35478 37539 42486 47142 56502 63729 75078 84753 112617 127458 169506 191187 225234 254259 304483 337851 382374 508518 573561 608966 675702 762777 913449 1013553 1147122 1525554 1720683 1826898 2027106 2740347 3441366 5480694 8221041 16442082 24663123 49326246 73989369 147978738