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145078528 = 287194261
BaseRepresentation
bin10001010010110…
…11100100000000
3101002222202022211
420221123210000
5244120003103
622221311504
73411101320
oct1051334400
9332882284
10145078528
1174990711
1240705594
1324097aaa
14153a7280
15cb0b36d
hex8a5b900

145078528 has 72 divisors (see below), whose sum is σ = 348461120. Its totient is φ = 58890240.

The previous prime is 145078501. The next prime is 145078567. The reversal of 145078528 is 825870541.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31918 + ... + 36178.

Almost surely, 2145078528 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 145078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174230560).

145078528 is an abundant number, since it is smaller than the sum of its proper divisors (203382592).

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

145078528 is an equidigital number, since it uses as much as digits as its factorization.

145078528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 145078528 is about 12044.8548351568. The cubic root of 145078528 is about 525.4536100757.

The spelling of 145078528 in words is "one hundred forty-five million, seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 2128 2432 4256 4261 4864 8512 8522 17024 17044 29827 34048 34088 59654 68176 80959 119308 136352 161918 238616 272704 323836 477232 545408 566713 647672 954464 1090816 1133426 1295344 1908928 2266852 2590688 3817856 4533704 5181376 7635712 9067408 10362752 18134816 20725504 36269632 72539264 145078528