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5283900144 = 243237991723
BaseRepresentation
bin1001110101111000…
…11110101011110000
3111122020120221100100
410322330132223300
541310134301034
62232152152400
7244640260455
oct47274365360
914566527310
105283900144
112271695426
121035698700
13662910543
14381a8382c
1520dd35099
hex13af1eaf0

5283900144 has 60 divisors (see below), whose sum is σ = 15187261336. Its totient is φ = 1713695616.

The previous prime is 5283900091. The next prime is 5283900161. The reversal of 5283900144 is 4410093825.

5283900144 is a `hidden beast` number, since 528 + 3 + 90 + 0 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5283900099 and 5283900108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490534 + ... + 501189.

Almost surely, 25283900144 is an apocalyptic number.

It is an amenable number.

5283900144 is an abundant number, since it is smaller than the sum of its proper divisors (9903361192).

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

5283900144 is a wasteful number, since it uses less digits than its factorization.

5283900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991774 (or 991765 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5283900144 is about 72690.4405269359. The cubic root of 5283900144 is about 1741.7461820258.

Adding to 5283900144 its reverse (4410093825), we get a palindrome (9693993969).

The spelling of 5283900144 in words is "five billion, two hundred eighty-three million, nine hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 991723 1983446 2975169 3966892 5950338 7933784 8925507 11900676 15867568 17851014 23801352 35702028 36693751 47602704 71404056 73387502 110081253 142808112 146775004 220162506 293550008 330243759 440325012 587100016 660487518 880650024 1320975036 1761300048 2641950072 5283900144