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145749248 = 28896397
BaseRepresentation
bin10001010111111…
…11010100000000
3101011020211101022
420223333110000
5244302433443
622243525012
73416563631
oct1053772400
9334224338
10145749248
11752a9627
1240989768
1324271178
14154dd888
15cbdee68
hex8aff500

145749248 has 36 divisors (see below), whose sum is σ = 294244020. Its totient is φ = 72044544.

The previous prime is 145749239. The next prime is 145749257. The reversal of 145749248 is 842947541.

It is an interprime number because it is at equal distance from previous prime (145749239) and next prime (145749257).

It can be written as a sum of positive squares in 2 ways, for example, as 10445824 + 135303424 = 3232^2 + 11632^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145749199 and 145749208.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19586 + ... + 25982.

It is an arithmetic number, because the mean of its divisors is an integer number (8173445).

Almost surely, 2145749248 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 145749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147122010).

145749248 is an abundant number, since it is smaller than the sum of its proper divisors (148494772).

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

145749248 is an frugal number, since it uses more digits than its factorization.

145749248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 6488 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 145749248 is about 12072.6653229517. The cubic root of 145749248 is about 526.2621159357.

It can be divided in two parts, 1457 and 49248, that added together give a palindrome (50705).

The spelling of 145749248 in words is "one hundred forty-five million, seven hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5696 6397 11392 12794 22784 25588 51176 102352 204704 409408 569333 818816 1138666 1637632 2277332 4554664 9109328 18218656 36437312 72874624 145749248