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152948334 = 23711437699
BaseRepresentation
bin10010001110111…
…00111001101110
3101122210120200010
421013130321232
5303123321314
623102114050
73535016340
oct1107347156
9348716603
10152948334
1179376390
124327b926
13258c1b96
1416455290
15d663059
hex91dce6e

152948334 has 64 divisors (see below), whose sum is σ = 390297600. Its totient is φ = 38797920.

The previous prime is 152948281. The next prime is 152948363. The reversal of 152948334 is 433849251.

It is a junction number, because it is equal to n+sod(n) for n = 152948292 and 152948301.

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, 16017 + ... + 23715.

It is an arithmetic number, because the mean of its divisors is an integer number (6098400).

Almost surely, 2152948334 is an apocalyptic number.

152948334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152948334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148800).

152948334 is an abundant number, since it is smaller than the sum of its proper divisors (237349266).

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

152948334 is a wasteful number, since it uses less digits than its factorization.

152948334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7765.

The product of its digits is 103680, while the sum is 39.

The square root of 152948334 is about 12367.2282262437. The cubic root of 152948334 is about 534.7879137225.

The spelling of 152948334 in words is "one hundred fifty-two million, nine hundred forty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 129 154 231 258 301 462 473 602 903 946 1419 1806 2838 3311 6622 7699 9933 15398 19866 23097 46194 53893 84689 107786 161679 169378 254067 323358 331057 508134 592823 662114 993171 1185646 1778469 1986342 2317399 3556938 3641627 4634798 6952197 7283254 10924881 13904394 21849762 25491389 50982778 76474167 152948334