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1955198208 = 28319712923
BaseRepresentation
bin111010010001001…
…1111010100000000
312001021001100201110
41310202133110000
513001012320313
6522002403320
766310624215
oct16442372400
95037040643
101955198208
11913727397
12466960540
132520bc022
14147955b0c
15b69b2ec3
hex7489f500

1955198208 has 72 divisors (see below), whose sum is σ = 5230497888. Its totient is φ = 648374272.

The previous prime is 1955198197. The next prime is 1955198209. The reversal of 1955198208 is 8028915591.

It is a super-2 number, since 2×19551982082 = 7645600065132822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955198209) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 144835 + ... + 157757.

It is an arithmetic number, because the mean of its divisors is an integer number (72645804).

Almost surely, 21955198208 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 1955198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615248944).

1955198208 is an abundant number, since it is smaller than the sum of its proper divisors (3275299680).

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

1955198208 is a wasteful number, since it uses less digits than its factorization.

1955198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13139 (or 13125 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 48.

The square root of 1955198208 is about 44217.6232739843. The cubic root of 1955198208 is about 1250.4421279732.

The spelling of 1955198208 in words is "one billion, nine hundred fifty-five million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 591 768 788 1182 1576 2364 3152 4728 6304 9456 12608 12923 18912 25216 25846 37824 38769 50432 51692 75648 77538 103384 151296 155076 206768 310152 413536 620304 827072 1240608 1654144 2481216 2545831 3308288 4962432 5091662 7637493 9924864 10183324 15274986 20366648 30549972 40733296 61099944 81466592 122199888 162933184 244399776 325866368 488799552 651732736 977599104 1955198208