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145265484 = 223713137971
BaseRepresentation
bin10001010100010…
…01001101001100
3101010100020210010
420222021031030
5244141443414
622225313220
73412510350
oct1052111514
9333306703
10145265484
1174aa9121
1240795810
1324131c10
1415415460
15cb46959
hex8a8934c

145265484 has 96 divisors (see below), whose sum is σ = 420650496. Its totient is φ = 37992960.

The previous prime is 145265467. The next prime is 145265489. The reversal of 145265484 is 484562541.

It is a happy number.

It is a super-2 number, since 2×1452654842 = 42204121683508512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (145265489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149119 + ... + 150089.

It is an arithmetic number, because the mean of its divisors is an integer number (4381776).

Almost surely, 2145265484 is an apocalyptic number.

145265484 is a gapful number since it is divisible by the number (14) 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 145265484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210325248).

145265484 is an abundant number, since it is smaller than the sum of its proper divisors (275385012).

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

145265484 is a wasteful number, since it uses less digits than its factorization.

145265484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 145265484 is about 12052.6131606387. The cubic root of 145265484 is about 525.6792224595.

The spelling of 145265484 in words is "one hundred forty-five million, two hundred sixty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 137 156 182 273 274 364 411 546 548 822 959 971 1092 1644 1781 1918 1942 2877 2913 3562 3836 3884 5343 5754 5826 6797 7124 10686 11508 11652 12467 12623 13594 20391 21372 24934 25246 27188 37401 37869 40782 49868 50492 74802 75738 81564 88361 133027 149604 151476 176722 265083 266054 353444 399081 530166 532108 798162 931189 1060332 1596324 1729351 1862378 2793567 3458702 3724756 5188053 5587134 6917404 10376106 11174268 12105457 20752212 24210914 36316371 48421828 72632742 145265484