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145383048 = 233217412897
BaseRepresentation
bin10001010101001…
…01111010001000
3101010120020001100
420222211322020
5244204224143
622232021400
73413510166
oct1052457210
9333506040
10145383048
1175079488
1240831860
1324173595
1415446236
15cb6b6d3
hex8aa5e88

145383048 has 96 divisors (see below), whose sum is σ = 427223160. Its totient is φ = 44482560.

The previous prime is 145383011. The next prime is 145383053. The reversal of 145383048 is 840383541.

145383048 = 622 + 632 + ... + 7582.

It can be written as a sum of positive squares in 4 ways, for example, as 78110244 + 67272804 = 8838^2 + 8202^2 .

It is a super-2 number, since 2×1453830482 = 42272461291540608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48736 + ... + 51632.

Almost surely, 2145383048 is an apocalyptic number.

145383048 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 145383048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213611580).

145383048 is an abundant number, since it is smaller than the sum of its proper divisors (281840112).

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

145383048 is a wasteful number, since it uses less digits than its factorization.

145383048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 145383048 is about 12057.4892908930. The cubic root of 145383048 is about 525.8209957286.

The spelling of 145383048 in words is "one hundred forty-five million, three hundred eighty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 2091 2788 2897 2952 4182 5576 5794 6273 8364 8691 11588 12546 16728 17382 23176 25092 26073 34764 49249 50184 52146 69528 98498 104292 118777 147747 196996 208584 237554 295494 356331 393992 443241 475108 590988 712662 886482 950216 1068993 1181976 1425324 1772964 2019209 2137986 2850648 3545928 4038418 4275972 6057627 8076836 8551944 12115254 16153672 18172881 24230508 36345762 48461016 72691524 145383048