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55549440 = 293252411
BaseRepresentation
bin1101001111100…
…1111000000000
310212112012111200
43103321320000
5103210040230
65302341200
71243106502
oct323717000
9125465450
1055549440
11293a1131
121672a800
13b67c2bb
14753dd72
154d24160
hex34f9e00

55549440 has 120 divisors (see below), whose sum is σ = 192463128. Its totient is φ = 14807040.

The previous prime is 55549433. The next prime is 55549451. The reversal of 55549440 is 4494555.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 55549395 and 55549404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21835 + ... + 24245.

Almost surely, 255549440 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 55549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96231564).

55549440 is an abundant number, since it is smaller than the sum of its proper divisors (136913688).

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

55549440 is a wasteful number, since it uses less digits than its factorization.

55549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 55549440 is about 7453.1496697705. The cubic root of 55549440 is about 381.5574125436.

The spelling of 55549440 in words is "fifty-five million, five hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2411 2560 2880 3840 4608 4822 5760 7233 7680 9644 11520 12055 14466 19288 21699 23040 24110 28932 36165 38576 43398 48220 57864 72330 77152 86796 96440 108495 115728 144660 154304 173592 192880 216990 231456 289320 308608 347184 385760 433980 462912 578640 617216 694368 771520 867960 925824 1157280 1234432 1388736 1543040 1735920 1851648 2314560 2777472 3086080 3471840 3703296 4629120 5554944 6172160 6943680 9258240 11109888 13887360 18516480 27774720 55549440