Search a number
-
+
144907896 = 2337329607
BaseRepresentation
bin10001010001100…
…01111001111000
3101002200002021010
420220301321320
5244044023041
622213513520
73406461000
oct1050617170
9332602233
10144907896
11748844a1
12406428a0
1324038223
1415361000
15cac5a16
hex8a31e78

144907896 has 128 divisors (see below), whose sum is σ = 437760000. Its totient is φ = 39908736.

The previous prime is 144907891. The next prime is 144907897. The reversal of 144907896 is 698709441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144907891) 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 31 ways as a sum of consecutive naturals, for example, 238425 + ... + 239031.

It is an arithmetic number, because the mean of its divisors is an integer number (3420000).

Almost surely, 2144907896 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 144907896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880000).

144907896 is an abundant number, since it is smaller than the sum of its proper divisors (292852104).

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

144907896 is a wasteful number, since it uses less digits than its factorization.

144907896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 144907896 is about 12037.7695608447. The cubic root of 144907896 is about 525.2475277214.

The spelling of 144907896 in words is "one hundred forty-four million, nine hundred seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 343 348 392 406 588 607 609 686 696 812 1029 1176 1214 1218 1372 1421 1624 1821 2058 2428 2436 2744 2842 3642 4116 4249 4263 4856 4872 5684 7284 8232 8498 8526 9947 11368 12747 14568 16996 17052 17603 19894 25494 29743 29841 33992 34104 35206 39788 50988 52809 59486 59682 70412 79576 89229 101976 105618 118972 119364 123221 140824 178458 208201 211236 237944 238728 246442 356916 369663 416402 422472 492884 624603 713832 739326 832804 862547 985768 1249206 1478652 1665608 1725094 2498412 2587641 2957304 3450188 4996824 5175282 6037829 6900376 10350564 12075658 18113487 20701128 24151316 36226974 48302632 72453948 144907896