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55491840 = 283254817
BaseRepresentation
bin1101001110101…
…1110100000000
310212102021111100
43103223310000
5103201214330
65301214400
71242446535
oct323536400
9125367440
1055491840
1129361928
1216701400
13b65c011
147526d8c
154d12060
hex34ebd00

55491840 has 108 divisors (see below), whose sum is σ = 192035844. Its totient is φ = 14794752.

The previous prime is 55491827. The next prime is 55491841. The reversal of 55491840 is 4819455.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 43877376 = 3408^2 + 6624^2 .

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 = 55491795 and 55491804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55491841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9112 + ... + 13928.

Almost surely, 255491840 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 55491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96017922).

55491840 is an abundant number, since it is smaller than the sum of its proper divisors (136544004).

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

55491840 is a wasteful number, since it uses less digits than its factorization.

55491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 55491840 is about 7449.2845294028. The cubic root of 55491840 is about 381.4254861751.

The spelling of 55491840 in words is "fifty-five million, four hundred ninety-one thousand, eight 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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 4817 5760 9634 11520 14451 19268 24085 28902 38536 43353 48170 57804 72255 77072 86706 96340 115608 144510 154144 173412 192680 216765 231216 289020 308288 346824 385360 433530 462432 578040 616576 693648 770720 867060 924864 1156080 1233152 1387296 1541440 1734120 1849728 2312160 2774592 3082880 3468240 3699456 4624320 5549184 6165760 6936480 9248640 11098368 13872960 18497280 27745920 55491840