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55336848 = 24371571049
BaseRepresentation
bin1101001100010…
…1111110010000
310212010101212220
43103011332100
5103131234343
65254021040
71241232630
oct323057620
9125111786
1055336848
1129266436
1216647780
13b6065c8
1474c66c0
154cd1183
hex34c5f90

55336848 has 80 divisors (see below), whose sum is σ = 164572800. Its totient is φ = 15694848.

The previous prime is 55336837. The next prime is 55336861. The reversal of 55336848 is 84863355.

55336848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52228 + ... + 53276.

It is an arithmetic number, because the mean of its divisors is an integer number (2057160).

Almost surely, 255336848 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 55336848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82286400).

55336848 is an abundant number, since it is smaller than the sum of its proper divisors (109235952).

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

55336848 is a wasteful number, since it uses less digits than its factorization.

55336848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 55336848 is about 7438.8741083581. The cubic root of 55336848 is about 381.0700403747.

It can be divided in two parts, 553 and 36848, that added together give a triangular number (37401 = T273).

The spelling of 55336848 in words is "fifty-five million, three hundred thirty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 157 168 314 336 471 628 942 1049 1099 1256 1884 2098 2198 2512 3147 3297 3768 4196 4396 6294 6594 7343 7536 8392 8792 12588 13188 14686 16784 17584 22029 25176 26376 29372 44058 50352 52752 58744 88116 117488 164693 176232 329386 352464 494079 658772 988158 1152851 1317544 1976316 2305702 2635088 3458553 3952632 4611404 6917106 7905264 9222808 13834212 18445616 27668424 55336848