Search a number
-
+
155541456 = 24327236709
BaseRepresentation
bin10010100010101…
…01111111010000
3101211200022202200
421101111333100
5304304311311
623233443200
73566036430
oct1121257720
9354608680
10155541456
117a887664
1244110500
13262bc285
141692c2c0
15d9c6556
hex9455fd0

155541456 has 120 divisors (see below), whose sum is σ = 519192960. Its totient is φ = 42501888.

The previous prime is 155541403. The next prime is 155541457. The reversal of 155541456 is 654145551.

155541456 is a `hidden beast` number, since 155 + 54 + 1 + 456 = 666.

155541456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 155541456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155541457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19830 + ... + 26538.

It is an arithmetic number, because the mean of its divisors is an integer number (4326608).

Almost surely, 2155541456 is an apocalyptic number.

155541456 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 155541456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259596480).

155541456 is an abundant number, since it is smaller than the sum of its proper divisors (363651504).

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

155541456 is a wasteful number, since it uses less digits than its factorization.

155541456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6744 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 155541456 is about 12471.6260367283. The cubic root of 155541456 is about 537.7932991647.

The spelling of 155541456 in words is "one hundred fifty-five million, five hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 6709 7728 11592 13418 20127 23184 26836 40254 46963 53672 60381 80508 93926 107344 120762 140889 154307 161016 187852 241524 281778 308614 322032 375704 422667 462921 483048 563556 617228 751408 845334 925842 966096 1080149 1127112 1234456 1388763 1690668 1851684 2160298 2254224 2468912 2777526 3240447 3381336 3703368 4320596 5555052 6480894 6762672 7406736 8641192 9721341 11110104 12961788 17282384 19442682 22220208 25923576 38885364 51847152 77770728 155541456