Search a number
-
+
152795412 = 223271125011
BaseRepresentation
bin10010001101101…
…11100100010100
3101122111210220100
421012313210110
5303103423122
623054534100
73533511450
oct1106674424
9348453810
10152795412
1179281500
1243207330
132586a3b3
1416415660
15d632aac
hex91b7914

152795412 has 108 divisors (see below), whose sum is σ = 485281888. Its totient is φ = 39679200.

The previous prime is 152795411. The next prime is 152795471. The reversal of 152795412 is 214597251.

152795412 is a `hidden beast` number, since 1 + 527 + 95 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152795411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27987 + ... + 32997.

Almost surely, 2152795412 is an apocalyptic number.

152795412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152795412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242640944).

152795412 is an abundant number, since it is smaller than the sum of its proper divisors (332486476).

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

152795412 is a wasteful number, since it uses less digits than its factorization.

152795412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5034 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 152795412 is about 12361.0441306550. The cubic root of 152795412 is about 534.6096223437.

The spelling of 152795412 in words is "one hundred fifty-two million, seven hundred ninety-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2772 3388 4356 5011 5082 7623 10022 10164 15033 15246 20044 30066 30492 35077 45099 55121 60132 70154 90198 105231 110242 140308 165363 180396 210462 220484 315693 330726 385847 420924 496089 606331 631386 661452 771694 992178 1157541 1212662 1262772 1543388 1818993 1984356 2315082 2425324 3472623 3637986 4244317 4630164 5456979 6945246 7275972 8488634 10913958 12732951 13890492 16977268 21827916 25465902 38198853 50931804 76397706 152795412