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55553040 = 243458573
BaseRepresentation
bin1101001111101…
…0110000010000
310212112101110000
43103322300100
5103210144130
65302410000
71243123134
oct323726020
9125471400
1055553040
11293a3904
1216730900
13b680b2a
1475413c4
154d25260
hex34fac10

55553040 has 100 divisors (see below), whose sum is σ = 192966444. Its totient is φ = 14812416.

The previous prime is 55552993. The next prime is 55553053. The reversal of 55553040 is 4035555.

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 36578304 = 4356^2 + 6048^2 .

It is a super-3 number, since 3×555530403 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55552995 and 55553013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2194 + ... + 10766.

Almost surely, 255553040 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 55553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96483222).

55553040 is an abundant number, since it is smaller than the sum of its proper divisors (137413404).

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

55553040 is a wasteful number, since it uses less digits than its factorization.

55553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8598 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 55553040 is about 7453.3911744923. The cubic root of 55553040 is about 381.5656549130.

Adding to 55553040 its reverse (4035555), we get a palindrome (59588595).

The spelling of 55553040 in words is "fifty-five million, five hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8573 17146 25719 34292 42865 51438 68584 77157 85730 102876 128595 137168 154314 171460 205752 231471 257190 308628 342920 385785 411504 462942 514380 617256 685840 694413 771570 925884 1028760 1157355 1234512 1388826 1543140 1851768 2057520 2314710 2777652 3086280 3472065 3703536 4629420 5555304 6172560 6944130 9258840 11110608 13888260 18517680 27776520 55553040