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145350528 = 273894253
BaseRepresentation
bin10001010100111…
…01111110000000
3101010111120102220
420222131332000
5244202204103
622231211040
73413313321
oct1052357600
9333446386
10145350528
1175057004
1240816a80
132416183b
1415438448
15cb61c53
hex8a9df80

145350528 has 64 divisors (see below), whose sum is σ = 390517200. Its totient is φ = 47894528.

The previous prime is 145350521. The next prime is 145350533. The reversal of 145350528 is 825053541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1453505282 = 42253551979757568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145350521) 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 7 ways as a sum of consecutive naturals, for example, 32050 + ... + 36302.

Almost surely, 2145350528 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 145350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195258600).

145350528 is an abundant number, since it is smaller than the sum of its proper divisors (245166672).

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

145350528 is an equidigital number, since it uses as much as digits as its factorization.

145350528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 145350528 is about 12056.1406760207. The cubic root of 145350528 is about 525.7817867237.

The spelling of 145350528 in words is "one hundred forty-five million, three hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4253 4272 5696 8506 8544 11392 12759 17012 17088 25518 34024 34176 51036 68048 102072 136096 204144 272192 378517 408288 544384 757034 816576 1135551 1514068 1633152 2271102 3028136 4542204 6056272 9084408 12112544 18168816 24225088 36337632 48450176 72675264 145350528