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1025044152 = 23311371011039
BaseRepresentation
bin111101000110001…
…110111010111000
32122102210122020020
4331012032322320
54044402403102
6245414130440
734254505626
oct7506167270
92572718206
101025044152
11486679930
12247350a20
13134498502
149a1ca516
155eecbbbc
hex3d18eeb8

1025044152 has 128 divisors (see below), whose sum is σ = 2902348800. Its totient is φ = 298944000.

The previous prime is 1025044133. The next prime is 1025044169. The reversal of 1025044152 is 2514405201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986049 + ... + 987087.

It is an arithmetic number, because the mean of its divisors is an integer number (22674600).

Almost surely, 21025044152 is an apocalyptic number.

1025044152 is a gapful number since it is divisible by the number (12) 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 1025044152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451174400).

1025044152 is an abundant number, since it is smaller than the sum of its proper divisors (1877304648).

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

1025044152 is a wasteful number, since it uses less digits than its factorization.

1025044152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1025044152 is about 32016.3107181324. The cubic root of 1025044152 is about 1008.2793144448.

Adding to 1025044152 its reverse (2514405201), we get a palindrome (3539449353).

The spelling of 1025044152 in words is "one billion, twenty-five million, forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 101 111 132 148 202 222 264 296 303 404 407 444 606 808 814 888 1039 1111 1212 1221 1628 2078 2222 2424 2442 3117 3256 3333 3737 4156 4444 4884 6234 6666 7474 8312 8888 9768 11211 11429 12468 13332 14948 22422 22858 24936 26664 29896 34287 38443 41107 44844 45716 68574 76886 82214 89688 91432 104939 115329 123321 137148 153772 164428 209878 230658 246642 274296 307544 314817 328856 419756 422873 461316 493284 629634 839512 845746 922632 986568 1154329 1259268 1268619 1691492 2308658 2518536 2537238 3382984 3462987 3882743 4617316 5074476 6925974 7765486 9234632 10148952 11648229 13851948 15530972 23296458 27703896 31061944 42710173 46592916 85420346 93185832 128130519 170840692 256261038 341681384 512522076 1025044152