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55098048 = 263347827
BaseRepresentation
bin1101001000101…
…1101011000000
310211200021022110
43102023223000
5103101114143
65244535320
71236216465
oct322135300
9124607273
1055098048
1129112a85
1216551540
13b5519c5
14746366c
154c85533
hex348bac0

55098048 has 56 divisors (see below), whose sum is σ = 146377152. Its totient is φ = 18290944.

The previous prime is 55098047. The next prime is 55098049. The reversal of 55098048 is 84089055.

It is an interprime number because it is at equal distance from previous prime (55098047) and next prime (55098049).

It is a junction number, because it is equal to n+sod(n) for n = 55097997 and 55098015.

It is not an unprimeable number, because it can be changed into a prime (55098047) 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 7 ways as a sum of consecutive naturals, for example, 66211 + ... + 67037.

Almost surely, 255098048 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 55098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73188576).

55098048 is an abundant number, since it is smaller than the sum of its proper divisors (91279104).

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

55098048 is a wasteful number, since it uses less digits than its factorization.

55098048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 55098048 is about 7422.8059384575. The cubic root of 55098048 is about 380.5210948824.

The spelling of 55098048 in words is "fifty-five million, ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 827 1041 1388 1654 2082 2481 2776 3308 4164 4962 5552 6616 8328 9924 11104 13232 16656 19848 22208 26464 33312 39696 52928 66624 79392 158784 286969 573938 860907 1147876 1721814 2295752 3443628 4591504 6887256 9183008 13774512 18366016 27549024 55098048