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5503552000 = 2953113761
BaseRepresentation
bin1010010000000100…
…11000101000000000
3112012112220102001021
411020002120220000
542232402131000
62310040115224
7253245264052
oct51002305000
915175812037
105503552000
112374680091
121097165b14
1369928865b
143a2cdd8d2
1522327211a
hex148098a00

5503552000 has 160 divisors (see below), whose sum is σ = 13863090384. Its totient is φ = 2179072000.

The previous prime is 5503551931. The next prime is 5503552003. The reversal of 5503552000 is 2553055.

It can be written as a sum of positive squares in 8 ways, for example, as 1327290624 + 4176261376 = 36432^2 + 64624^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5503552003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7231620 + ... + 7232380.

Almost surely, 25503552000 is an apocalyptic number.

5503552000 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 5503552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931545192).

5503552000 is an abundant number, since it is smaller than the sum of its proper divisors (8359538384).

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

5503552000 is an equidigital number, since it uses as much as digits as its factorization.

5503552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 25.

The square root of 5503552000 is about 74185.9285848738. The cubic root of 5503552000 is about 1765.5540797472.

The spelling of 5503552000 in words is "five billion, five hundred three million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 128 160 200 226 250 256 320 400 452 500 512 565 640 761 800 904 1000 1130 1280 1522 1600 1808 2000 2260 2560 2825 3044 3200 3616 3805 4000 4520 5650 6088 6400 7232 7610 8000 9040 11300 12176 12800 14125 14464 15220 16000 18080 19025 22600 24352 28250 28928 30440 32000 36160 38050 45200 48704 56500 57856 60880 64000 72320 76100 85993 90400 95125 97408 113000 121760 144640 152200 171986 180800 190250 194816 226000 243520 289280 304400 343972 361600 380500 389632 429965 452000 487040 608800 687944 723200 761000 859930 904000 974080 1217600 1375888 1446400 1522000 1719860 1808000 1948160 2149825 2435200 2751776 3044000 3439720 3616000 4299650 4870400 5503552 6088000 6879440 7232000 8599300 9740800 10749125 11007104 12176000 13758880 17198600 21498250 22014208 24352000 27517760 34397200 42996500 44028416 48704000 55035520 68794400 85993000 110071040 137588800 171986000 220142080 275177600 343972000 550355200 687944000 1100710400 1375888000 2751776000 5503552000