Search a number
-
+
154285056 = 2103216741
BaseRepresentation
bin10010011001000…
…11010000000000
3101202022111022100
421030203100000
5303444110211
623150510400
73552254442
oct1114432000
9352274270
10154285056
117a0a9712
1243805400
1325c6c443
14166c2492
15d829156
hex9323400

154285056 has 66 divisors (see below), whose sum is σ = 445521362. Its totient is φ = 51425280.

The previous prime is 154285051. The next prime is 154285057. The reversal of 154285056 is 650582451.

154285056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 153363456 + 921600 = 12384^2 + 960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 154285056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154285051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 846 + ... + 17586.

Almost surely, 2154285056 is an apocalyptic number.

154285056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222760681).

154285056 is an abundant number, since it is smaller than the sum of its proper divisors (291236306).

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

154285056 is a wasteful number, since it uses less digits than its factorization.

154285056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16767 (or 16746 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 154285056 is about 12421.1535696166. The cubic root of 154285056 is about 536.3413582592.

The spelling of 154285056 in words is "one hundred fifty-four million, two hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 16741 33482 50223 66964 100446 133928 150669 200892 267856 301338 401784 535712 602676 803568 1071424 1205352 1607136 2142848 2410704 3214272 4285696 4821408 6428544 8571392 9642816 12857088 17142784 19285632 25714176 38571264 51428352 77142528 154285056