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145329552 = 243537379
BaseRepresentation
bin10001010100110…
…00110110010000
3101010110111200000
420222120312100
5244201021202
622230530000
73413165214
oct1052306620
9333414600
10145329552
1175042275
1240806900
1324155124
1415430944
15cb5a91c
hex8a98d90

145329552 has 60 divisors (see below), whose sum is σ = 421795920. Its totient is φ = 48441888.

The previous prime is 145329539. The next prime is 145329553. The reversal of 145329552 is 255923541.

It is a happy number.

It is a super-2 number, since 2×1453295522 = 42241357369041408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145329553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14802 + ... + 22577.

It is an arithmetic number, because the mean of its divisors is an integer number (7029932).

Almost surely, 2145329552 is an apocalyptic number.

145329552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145329552 is an abundant number, since it is smaller than the sum of its proper divisors (276466368).

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

145329552 is an equidigital number, since it uses as much as digits as its factorization.

145329552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37402 (or 37384 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 145329552 is about 12055.2707145049. The cubic root of 145329552 is about 525.7564930893.

The spelling of 145329552 in words is "one hundred forty-five million, three hundred twenty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 37379 74758 112137 149516 224274 299032 336411 448548 598064 672822 897096 1009233 1345644 1794192 2018466 2691288 3027699 4036932 5382576 6055398 8073864 9083097 12110796 16147728 18166194 24221592 36332388 48443184 72664776 145329552