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145028352 = 283753509
BaseRepresentation
bin10001010010011…
…11010100000000
3101002220012111110
420221033110000
5244111401402
622220243320
73410502120
oct1051172400
9332805443
10145028352
1174956a47
12406a0540
132407acc1
1415392c80
15caeb56c
hex8a4f500

145028352 has 144 divisors (see below), whose sum is σ = 450334080. Its totient is φ = 40574976.

The previous prime is 145028341. The next prime is 145028353. The reversal of 145028352 is 253820541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145028353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284674 + ... + 285182.

It is an arithmetic number, because the mean of its divisors is an integer number (3127320).

Almost surely, 2145028352 is an apocalyptic number.

145028352 is a gapful number since it is divisible by the number (12) 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 145028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225167040).

145028352 is an abundant number, since it is smaller than the sum of its proper divisors (305305728).

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

145028352 is an equidigital number, since it uses as much as digits as its factorization.

145028352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 145028352 is about 12042.7717739730. The cubic root of 145028352 is about 525.3930263335.

Adding to 145028352 its reverse (253820541), we get a palindrome (398848893).

The spelling of 145028352 in words is "one hundred forty-five million, twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 509 636 672 742 768 848 896 1018 1113 1272 1344 1484 1527 1696 1792 2036 2226 2544 2688 2968 3054 3392 3563 4072 4452 5088 5376 5936 6108 6784 7126 8144 8904 10176 10689 11872 12216 13568 14252 16288 17808 20352 21378 23744 24432 26977 28504 32576 35616 40704 42756 47488 48864 53954 57008 65152 71232 80931 85512 94976 97728 107908 114016 130304 142464 161862 171024 188839 195456 215816 228032 284928 323724 342048 377678 390912 431632 456064 566517 647448 684096 755356 863264 912128 1133034 1294896 1368192 1510712 1726528 2266068 2589792 2736384 3021424 3453056 4532136 5179584 6042848 6906112 9064272 10359168 12085696 18128544 20718336 24171392 36257088 48342784 72514176 145028352