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152003046 = 23135383443
BaseRepresentation
bin10010000111101…
…10000111100110
3101121000112222110
421003312013212
5302403044141
623025541450
73524001366
oct1103660746
9347015873
10152003046
1178890158
1242aa4886
1325650840
141628a9a6
15d527e16
hex90f61e6

152003046 has 64 divisors (see below), whose sum is σ = 338349312. Its totient is φ = 45232512.

The previous prime is 152003017. The next prime is 152003077. The reversal of 152003046 is 640300251.

It is a happy number.

152003046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342901 + ... + 343343.

It is an arithmetic number, because the mean of its divisors is an integer number (5286708).

Almost surely, 2152003046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152003046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169174656).

152003046 is an abundant number, since it is smaller than the sum of its proper divisors (186346266).

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

152003046 is a wasteful number, since it uses less digits than its factorization.

152003046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 152003046 is about 12328.9515369313. The cubic root of 152003046 is about 533.6838946116.

Adding to 152003046 its reverse (640300251), we get a palindrome (792303297).

The spelling of 152003046 in words is "one hundred fifty-two million, three thousand, forty-six".

Divisors: 1 2 3 6 13 26 39 53 78 83 106 159 166 249 318 443 498 689 886 1079 1329 1378 2067 2158 2658 3237 4134 4399 5759 6474 8798 11518 13197 17277 23479 26394 34554 36769 46958 57187 70437 73538 110307 114374 140874 171561 220614 305227 343122 477997 610454 915681 955994 1433991 1831362 1948757 2867982 3897514 5846271 11692542 25333841 50667682 76001523 152003046