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153036352 = 2671133023
BaseRepresentation
bin10010001111100…
…10011001000000
3101122222001102001
421013302121000
5303134130402
623104033344
73535534060
oct1107623100
9348861361
10153036352
1179426527
1243302854
1325922c71
14164793a0
15d67e187
hex91f2640

153036352 has 56 divisors (see below), whose sum is σ = 350251776. Its totient is φ = 64985088.

The previous prime is 153036347. The next prime is 153036379. The reversal of 153036352 is 253630351.

153036352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 153036352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49113 + ... + 52135.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2153036352 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 153036352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125888).

153036352 is an abundant number, since it is smaller than the sum of its proper divisors (197215424).

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

153036352 is a wasteful number, since it uses less digits than its factorization.

153036352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 153036352 is about 12370.7862320873. The cubic root of 153036352 is about 534.8904798089.

The spelling of 153036352 in words is "one hundred fifty-three million, thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3023 3164 3616 6046 6328 7232 12092 12656 21161 24184 25312 42322 48368 50624 84644 96736 169288 193472 338576 341599 677152 683198 1354304 1366396 2391193 2732792 4782386 5465584 9564772 10931168 19129544 21862336 38259088 76518176 153036352