Search a number
-
+
153428856 = 23371735279
BaseRepresentation
bin10010010010100…
…10001101111000
3101200200222211020
421021102031320
5303234210411
623120302440
73542060310
oct1111221570
9350628736
10153428856
1179674409
1243471a20
1325a2c809
141653c440
15d70a606
hex9252378

153428856 has 64 divisors (see below), whose sum is σ = 440985600. Its totient is φ = 43575168.

The previous prime is 153428843. The next prime is 153428867. The reversal of 153428856 is 658824351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26425 + ... + 31703.

It is an arithmetic number, because the mean of its divisors is an integer number (6890400).

Almost surely, 2153428856 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 153428856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220492800).

153428856 is an abundant number, since it is smaller than the sum of its proper divisors (287556744).

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

153428856 is a wasteful number, since it uses less digits than its factorization.

153428856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5464 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 153428856 is about 12386.6402224332. The cubic root of 153428856 is about 535.3473808800.

The spelling of 153428856 in words is "one hundred fifty-three million, four hundred twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4844 5279 7266 9688 10558 14532 15837 21116 29064 31674 36953 42232 63348 73906 110859 126696 147812 221718 295624 443436 886872 913267 1826534 2739801 3653068 5479602 6392869 7306136 10959204 12785738 19178607 21918408 25571476 38357214 51142952 76714428 153428856