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145353544 = 23731101829
BaseRepresentation
bin10001010100111…
…10101101001000
3101010111201120121
420222132231020
5244202303134
622231233024
73413325160
oct1052365510
9333451517
10145353544
11750592a6
1240818774
132416301b
14154395a0
15cb62ab4
hex8a9eb48

145353544 has 64 divisors (see below), whose sum is σ = 325094400. Its totient is φ = 59616000.

The previous prime is 145353541. The next prime is 145353589. The reversal of 145353544 is 445353541.

It is a super-2 number, since 2×1453535442 = 42255305506719872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145353541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174922 + ... + 175750.

It is an arithmetic number, because the mean of its divisors is an integer number (5079600).

Almost surely, 2145353544 is an apocalyptic number.

145353544 is a gapful number since it is divisible by the number (14) 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 145353544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162547200).

145353544 is an abundant number, since it is smaller than the sum of its proper divisors (179740856).

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

145353544 is a wasteful number, since it uses less digits than its factorization.

145353544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its digits is 72000, while the sum is 34.

The square root of 145353544 is about 12056.2657568585. The cubic root of 145353544 is about 525.7854233276.

The spelling of 145353544 in words is "one hundred forty-five million, three hundred fifty-three thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 101 124 202 217 248 404 434 707 808 829 868 1414 1658 1736 2828 3131 3316 5656 5803 6262 6632 11606 12524 21917 23212 25048 25699 43834 46424 51398 83729 87668 102796 167458 175336 179893 205592 334916 359786 586103 669832 719572 1172206 1439144 2344412 2595599 4688824 5191198 10382396 18169193 20764792 36338386 72676772 145353544