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145655748 = 2232719291049
BaseRepresentation
bin10001010111010…
…00011111000100
3101011002002010100
420223220133010
5244241440443
622241524100
73416024220
oct1053503704
9334062110
10145655748
1175245357
1240943630
132423a744
14154b7780
15cbc23d3
hex8ae87c4

145655748 has 144 divisors (see below), whose sum is σ = 458640000. Its totient is φ = 38029824.

The previous prime is 145655747. The next prime is 145655753. The reversal of 145655748 is 847556541.

145655748 is a `hidden beast` number, since 1 + 4 + 56 + 557 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (145655747) 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 47 ways as a sum of consecutive naturals, for example, 138328 + ... + 139376.

It is an arithmetic number, because the mean of its divisors is an integer number (3185000).

Almost surely, 2145655748 is an apocalyptic number.

145655748 is a gapful number since it is divisible by the number (18) 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 145655748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320000).

145655748 is an abundant number, since it is smaller than the sum of its proper divisors (312984252).

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

145655748 is a wasteful number, since it uses less digits than its factorization.

145655748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1109 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 145655748 is about 12068.7923173779. The cubic root of 145655748 is about 526.1495572450.

The spelling of 145655748 in words is "one hundred forty-five million, six hundred fifty-five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 29 36 38 42 57 58 63 76 84 87 114 116 126 133 171 174 203 228 252 261 266 342 348 399 406 522 532 551 609 684 798 812 1044 1049 1102 1197 1218 1596 1653 1827 2098 2204 2394 2436 3147 3306 3654 3857 4196 4788 4959 6294 6612 7308 7343 7714 9441 9918 11571 12588 14686 15428 18882 19836 19931 22029 23142 29372 30421 34713 37764 39862 44058 46284 59793 60842 66087 69426 79724 88116 91263 119586 121684 132174 138852 139517 179379 182526 212947 239172 264348 273789 279034 358758 365052 418551 425894 547578 558068 577999 638841 717516 837102 851788 1095156 1155998 1255653 1277682 1674204 1733997 1916523 2311996 2511306 2555364 3467994 3833046 4045993 5022612 5201991 6935988 7666092 8091986 10403982 12137979 16183972 20807964 24275958 36413937 48551916 72827874 145655748