Search a number
-
+
55472256 = 273372293
BaseRepresentation
bin1101001110011…
…1000010000000
310212101021122000
43103213002000
5103200103011
65300544000
71242335460
oct323470200
9125337560
1055472256
1129349144
12166b2000
13b653128
14751dba0
154d0b356
hex34e7080

55472256 has 128 divisors (see below), whose sum is σ = 187190400. Its totient is φ = 15842304.

The previous prime is 55472243. The next prime is 55472257. The reversal of 55472256 is 65227455.

It is a tau number, because it is divible by the number of its divisors (128).

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 55472256.

It is not an unprimeable number, because it can be changed into a prime (55472257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23046 + ... + 25338.

It is an arithmetic number, because the mean of its divisors is an integer number (1462425).

Almost surely, 255472256 is an apocalyptic number.

55472256 is a gapful number since it is divisible by the number (56) 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 55472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93595200).

55472256 is an abundant number, since it is smaller than the sum of its proper divisors (131718144).

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

55472256 is a wasteful number, since it uses less digits than its factorization.

55472256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2305 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 55472256 is about 7447.9699247513. The cubic root of 55472256 is about 381.3806104141.

The spelling of 55472256 in words is "fifty-five million, four hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2293 2688 3024 3456 4032 4586 6048 6879 8064 9172 12096 13758 16051 18344 20637 24192 27516 32102 36688 41274 48153 55032 61911 64204 73376 82548 96306 110064 123822 128408 144459 146752 165096 192612 220128 247644 256816 288918 293504 330192 385224 433377 440256 495288 513632 577836 660384 770448 866754 880512 990576 1027264 1155672 1320768 1540896 1733508 1981152 2054528 2311344 2641536 3081792 3467016 3962304 4622688 6163584 6934032 7924608 9245376 13868064 18490752 27736128 55472256