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152014044 = 2237131071301
BaseRepresentation
bin10010000111110…
…00110011011100
3101121001010001210
421003320303130
5302403422134
623030104420
73524045430
oct1103706334
9347033053
10152014044
1178898446
1242aab110
1325655850
14162909c0
15d52b2e9
hex90f8cdc

152014044 has 96 divisors (see below), whose sum is σ = 440971776. Its totient is φ = 39686400.

The previous prime is 152014043. The next prime is 152014081. The reversal of 152014044 is 440410251.

It is a happy number.

152014044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 152014044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152014043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116194 + ... + 117494.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2152014044 is an apocalyptic number.

152014044 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 152014044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485888).

152014044 is an abundant number, since it is smaller than the sum of its proper divisors (288957732).

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

152014044 is a wasteful number, since it uses less digits than its factorization.

152014044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 152014044 is about 12329.3975521921. The cubic root of 152014044 is about 533.6967656561.

Adding to 152014044 its reverse (440410251), we get a palindrome (592424295).

The spelling of 152014044 in words is "one hundred fifty-two million, fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 107 156 182 214 273 321 364 428 546 642 749 1092 1284 1301 1391 1498 2247 2602 2782 2996 3903 4173 4494 5204 5564 7806 8346 8988 9107 9737 15612 16692 16913 18214 19474 27321 29211 33826 36428 38948 50739 54642 58422 67652 101478 109284 116844 118391 139207 202956 236782 278414 355173 417621 473564 556828 710346 835242 974449 1420692 1670484 1809691 1948898 2923347 3619382 3897796 5429073 5846694 7238764 10858146 11693388 12667837 21716292 25335674 38003511 50671348 76007022 152014044