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145651644 = 223219732917
BaseRepresentation
bin10001010111001…
…11011110111100
3101011001212111100
420223213132330
5244241323034
622241453100
73416006235
oct1053473674
9334055440
10145651644
1175242266
1240941190
1324238908
14154b608c
15cbc1099
hex8ae77bc

145651644 has 72 divisors (see below), whose sum is σ = 392996240. Its totient is φ = 45349632.

The previous prime is 145651643. The next prime is 145651661. The reversal of 145651644 is 446156541.

145651644 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 5 + 1 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145651599 and 145651608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145651643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48474 + ... + 51390.

Almost surely, 2145651644 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 145651644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196498120).

145651644 is an abundant number, since it is smaller than the sum of its proper divisors (247344596).

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

145651644 is a wasteful number, since it uses less digits than its factorization.

145651644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3014 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 145651644 is about 12068.6222908831. The cubic root of 145651644 is about 526.1446155975.

The spelling of 145651644 in words is "one hundred forty-five million, six hundred fifty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 73 76 114 146 171 219 228 292 342 438 657 684 876 1314 1387 2628 2774 2917 4161 5548 5834 8322 8751 11668 12483 16644 17502 24966 26253 35004 49932 52506 55423 105012 110846 166269 212941 221692 332538 425882 498807 638823 665076 851764 997614 1277646 1916469 1995228 2555292 3832938 4045879 7665876 8091758 12137637 16183516 24275274 36412911 48550548 72825822 145651644