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55077456 = 2437237127
BaseRepresentation
bin1101001000011…
…0101001010000
310211122020001210
43102012221100
5103044434311
65244300120
71236102450
oct322065120
9124566053
1055077456
11290a9565
1216541640
13b545515
147459d60
154c7e3a6
hex3486a50

55077456 has 80 divisors (see below), whose sum is σ = 169703424. Its totient is φ = 15050112.

The previous prime is 55077431. The next prime is 55077511. The reversal of 55077456 is 65477055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4165 + ... + 11291.

Almost surely, 255077456 is an apocalyptic number.

55077456 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 55077456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84851712).

55077456 is an abundant number, since it is smaller than the sum of its proper divisors (114625968).

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

55077456 is a wasteful number, since it uses less digits than its factorization.

55077456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 55077456 is about 7421.4187322910. The cubic root of 55077456 is about 380.4736844506.

The spelling of 55077456 in words is "fifty-five million, seventy-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7127 7728 14254 21381 28508 42762 49889 57016 85524 99778 114032 149667 163921 171048 199556 299334 327842 342096 399112 491763 598668 655684 798224 983526 1147447 1197336 1311368 1967052 2294894 2394672 2622736 3442341 3934104 4589788 6884682 7868208 9179576 13769364 18359152 27538728 55077456