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145505352 = 23353731567
BaseRepresentation
bin10001010110000…
…11110001001000
3101010210102211010
420223003301020
5244222132402
622234403520
73414526566
oct1053036110
9333712733
10145505352
1175152363
12408905a0
13241b7155
1415478a36
15cb92a6c
hex8ac3c48

145505352 has 64 divisors (see below), whose sum is σ = 375943680. Its totient is φ = 46904832.

The previous prime is 145505333. The next prime is 145505359. The reversal of 145505352 is 253505541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (145505359) 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 15 ways as a sum of consecutive naturals, for example, 92073 + ... + 93639.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2145505352 is an apocalyptic number.

145505352 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 145505352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187971840).

145505352 is an abundant number, since it is smaller than the sum of its proper divisors (230438328).

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

145505352 is a wasteful number, since it uses less digits than its factorization.

145505352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 145505352 is about 12062.5599273123. The cubic root of 145505352 is about 525.9684039872.

The spelling of 145505352 in words is "one hundred forty-five million, five hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 53 73 106 146 159 212 219 292 318 424 438 584 636 876 1272 1567 1752 3134 3869 4701 6268 7738 9402 11607 12536 15476 18804 23214 30952 37608 46428 83051 92856 114391 166102 228782 249153 332204 343173 457564 498306 664408 686346 915128 996612 1372692 1993224 2745384 6062723 12125446 18188169 24250892 36376338 48501784 72752676 145505352