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55440288 = 253473293
BaseRepresentation
bin1101001101111…
…1001110100000
310212022122210000
43103133032200
5103143042123
65300140000
71242143331
oct323371640
9125278700
1055440288
1129327122
1216697600
13b641707
147512288
154d01b43
hex34df3a0

55440288 has 120 divisors (see below), whose sum is σ = 165845988. Its totient is φ = 18164736.

The previous prime is 55440263. The next prime is 55440313. The reversal of 55440288 is 88204455.

It is an interprime number because it is at equal distance from previous prime (55440263) and next prime (55440313).

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 5143824 = 7092^2 + 2268^2 .

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

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, 189070 + ... + 189362.

Almost surely, 255440288 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 55440288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82922994).

55440288 is an abundant number, since it is smaller than the sum of its proper divisors (110405700).

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

55440288 is a wasteful number, since it uses less digits than its factorization.

55440288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 55440288 is about 7445.8235273205. The cubic root of 55440288 is about 381.3073346362.

The spelling of 55440288 in words is "fifty-five million, four hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 288 292 293 324 432 438 584 586 648 657 864 876 879 1168 1172 1296 1314 1752 1758 1971 2336 2344 2592 2628 2637 3504 3516 3942 4688 5256 5274 5913 7008 7032 7884 7911 9376 10512 10548 11826 14064 15768 15822 21024 21096 21389 23652 23733 28128 31536 31644 42192 42778 47304 47466 63072 63288 64167 84384 85556 94608 94932 126576 128334 171112 189216 189864 192501 253152 256668 342224 379728 385002 513336 577503 684448 759456 770004 1026672 1155006 1540008 1732509 2053344 2310012 3080016 3465018 4620024 6160032 6930036 9240048 13860072 18480096 27720144 55440288