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55511456 = 25711131733
BaseRepresentation
bin1101001111000…
…0100110100000
310212110021101212
43103300212200
5103202331311
65301445252
71242560660
oct323604640
9125407355
1055511456
1129375640
1216710828
13b667c20
1475301a0
154d17c8b
hex34f09a0

55511456 has 96 divisors (see below), whose sum is σ = 146821248. Its totient is φ = 19952640.

The previous prime is 55511437. The next prime is 55511459. The reversal of 55511456 is 65411555.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (55511459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31166 + ... + 32898.

It is an arithmetic number, because the mean of its divisors is an integer number (1529388).

Almost surely, 255511456 is an apocalyptic number.

55511456 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 55511456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73410624).

55511456 is an abundant number, since it is smaller than the sum of its proper divisors (91309792).

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

55511456 is a wasteful number, since it uses less digits than its factorization.

55511456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1766 counting only the distinct ones).

The product of its digits is 15000, while the sum is 32.

The square root of 55511456 is about 7450.6010495798. The cubic root of 55511456 is about 381.4704246795.

Subtracting 55511456 from its reverse (65411555), we obtain a palindrome (9900099).

It can be divided in two parts, 5551 and 1456, that added together give a palindrome (7007).

The spelling of 55511456 in words is "fifty-five million, five hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 1733 2002 2288 2464 2912 3466 4004 4576 6932 8008 12131 13864 16016 19063 22529 24262 27728 32032 38126 45058 48524 55456 76252 90116 97048 133441 152504 157703 180232 194096 247819 266882 305008 315406 360464 388192 495638 533764 610016 630812 720928 991276 1067528 1261624 1734733 1982552 2135056 2523248 3469466 3965104 4270112 5046496 6938932 7930208 13877864 27755728 55511456