Search a number
-
+
153048728 = 23713719949
BaseRepresentation
bin10010001111101…
…01011010011000
3101122222200101102
421013311122120
5303140024403
623104210532
73535615130
oct1107653230
9348880342
10153048728
1179434858
1243309a48
13259287a1
141647dac0
15d682b88
hex91f5698

153048728 has 32 divisors (see below), whose sum is σ = 330372000. Its totient is φ = 65110272.

The previous prime is 153048719. The next prime is 153048733. The reversal of 153048728 is 827840351.

153048728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1530487283 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153048691 and 153048700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2303 + ... + 17646.

It is an arithmetic number, because the mean of its divisors is an integer number (10324125).

Almost surely, 2153048728 is an apocalyptic number.

It is an amenable number.

153048728 is an abundant number, since it is smaller than the sum of its proper divisors (177323272).

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

153048728 is a wasteful number, since it uses less digits than its factorization.

153048728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20099 (or 20095 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 153048728 is about 12371.2864327038. The cubic root of 153048728 is about 534.9048982265.

The spelling of 153048728 in words is "one hundred fifty-three million, forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 137 274 548 959 1096 1918 3836 7672 19949 39898 79796 139643 159592 279286 558572 1117144 2733013 5466026 10932052 19131091 21864104 38262182 76524364 153048728