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145653248 = 291379277
BaseRepresentation
bin10001010111001…
…11111000000000
3101011001221200202
420223213320000
5244241400443
622241504332
73416014016
oct1053477000
9334057622
10145653248
1175243494
12409420a8
1324239570
14154b68b6
15cbc17b8
hex8ae7e00

145653248 has 80 divisors (see below), whose sum is σ = 318521280. Its totient is φ = 66134016.

The previous prime is 145653247. The next prime is 145653251. The reversal of 145653248 is 842356541.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145653247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525686 + ... + 525962.

It is an arithmetic number, because the mean of its divisors is an integer number (3981516).

Almost surely, 2145653248 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 145653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159260640).

145653248 is an abundant number, since it is smaller than the sum of its proper divisors (172868032).

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

145653248 is an equidigital number, since it uses as much as digits as its factorization.

145653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 145653248 is about 12068.6887440185. The cubic root of 145653248 is about 526.1465469932.

The spelling of 145653248 in words is "one hundred forty-five million, six hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 277 316 416 512 554 632 832 1027 1108 1264 1664 2054 2216 2528 3328 3601 4108 4432 5056 6656 7202 8216 8864 10112 14404 16432 17728 20224 21883 28808 32864 35456 40448 43766 57616 65728 70912 87532 115232 131456 141824 175064 230464 262912 284479 350128 460928 525824 568958 700256 921856 1137916 1400512 1843712 2275832 2801024 4551664 5602048 9103328 11204096 18206656 36413312 72826624 145653248