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153870848 = 29397757
BaseRepresentation
bin10010010101111…
…10001000000000
3101201112110010022
421022332020000
5303342331343
623133553012
73545611025
oct1112761000
9351473108
10153870848
117994649a
1243645768
1325b55a51
141661554c
15d796568
hex92be200

153870848 has 40 divisors (see below), whose sum is σ = 308622732. Its totient is φ = 76640256.

The previous prime is 153870841. The next prime is 153870863. The reversal of 153870848 is 848078351.

It can be written as a sum of positive squares in 2 ways, for example, as 150601984 + 3268864 = 12272^2 + 1808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153870799 and 153870808.

It is not an unprimeable number, because it can be changed into a prime (153870841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202886 + ... + 203642.

Almost surely, 2153870848 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 153870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154311366).

153870848 is an abundant number, since it is smaller than the sum of its proper divisors (154751884).

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

153870848 is an frugal number, since it uses more digits than its factorization.

153870848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 153870848 is about 12404.4688721444. The cubic root of 153870848 is about 535.8609574742.

The spelling of 153870848 in words is "one hundred fifty-three million, eight hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 397 512 757 794 1514 1588 3028 3176 6056 6352 12112 12704 24224 25408 48448 50816 96896 101632 193792 203264 300529 387584 601058 1202116 2404232 4808464 9616928 19233856 38467712 76935424 153870848