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55493100 = 223452131731
BaseRepresentation
bin1101001110110…
…0000111101100
310212102100020000
43103230013230
5103201234400
65301224300
71242453315
oct323540754
9125370200
1055493100
1129362873
1216702090
13b65c770
14752760c
154d12600
hex34ec1ec

55493100 has 360 divisors, whose sum is σ = 211736448. Its totient is φ = 12441600.

The previous prime is 55493093. The next prime is 55493107. The reversal of 55493100 is 139455.

55493100 is a `hidden beast` number, since 554 + 9 + 3 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (55493093) and next prime (55493107).

It is a super-2 number, since 2×554931002 = 6158968295220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55493107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1790085 + ... + 1790115.

Almost surely, 255493100 is an apocalyptic number.

55493100 is a gapful number since it is divisible by the number (50) 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 55493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105868224).

55493100 is an abundant number, since it is smaller than the sum of its proper divisors (156243348).

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

55493100 is a wasteful number, since it uses less digits than its factorization.

55493100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55493100 is about 7449.3691008031. The cubic root of 55493100 is about 381.4283730408.

It can be divided in two parts, 5549 and 3100, that added together give a square (8649 = 932).

The spelling of 55493100 in words is "fifty-five million, four hundred ninety-three thousand, one hundred".