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145773952 = 2729173227
BaseRepresentation
bin10001011000001…
…01010110000000
3101011022002021021
420230011112000
5244304231302
622244235224
73420025642
oct1054052600
9334262237
10145773952
1175316145
124099bb14
132427c49c
1415508892
15cbe7437
hex8b05580

145773952 has 64 divisors (see below), whose sum is σ = 303490800. Its totient is φ = 69658624.

The previous prime is 145773949. The next prime is 145773959. The reversal of 145773952 is 259377541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 145773899 and 145773908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145773959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642063 + ... + 642289.

Almost surely, 2145773952 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 145773952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151745400).

145773952 is an abundant number, since it is smaller than the sum of its proper divisors (157716848).

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

145773952 is a wasteful number, since it uses less digits than its factorization.

145773952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its digits is 264600, while the sum is 43.

The square root of 145773952 is about 12073.6884173810. The cubic root of 145773952 is about 526.2918474667.

The spelling of 145773952 in words is "one hundred forty-five million, seven hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 173 227 232 346 454 464 692 908 928 1384 1816 1856 2768 3632 3712 5017 5536 6583 7264 10034 11072 13166 14528 20068 22144 26332 29056 39271 40136 52664 78542 80272 105328 157084 160544 210656 314168 321088 421312 628336 642176 842624 1138859 1256672 2277718 2513344 4555436 5026688 9110872 18221744 36443488 72886976 145773952