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5025606240 = 253548721499
BaseRepresentation
bin1001010111000110…
…01010101001100000
3110222020120020201110
410223203022221200
540243023344430
62150404103320
7235352643144
oct45343125140
913866506643
105025606240
112149907396
12b83094b40
13621255a05
14359649224
151e63137b0
hex12b8caa60

5025606240 has 96 divisors (see below), whose sum is σ = 15863904000. Its totient is φ = 1337347584.

The previous prime is 5025606239. The next prime is 5025606241. The reversal of 5025606240 is 426065205.

It is an interprime number because it is at equal distance from previous prime (5025606239) and next prime (5025606241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5025606198 and 5025606207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5025606241) 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, 223011 + ... + 244509.

It is an arithmetic number, because the mean of its divisors is an integer number (165249000).

Almost surely, 25025606240 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 5025606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931952000).

5025606240 is an abundant number, since it is smaller than the sum of its proper divisors (10838297760).

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

5025606240 is a wasteful number, since it uses less digits than its factorization.

5025606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22004 (or 21996 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5025606240 is about 70891.5103520866. The cubic root of 5025606240 is about 1712.8900480107.

The spelling of 5025606240 in words is "five billion, twenty-five million, six hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 487 974 1461 1948 2435 2922 3896 4870 5844 7305 7792 9740 11688 14610 15584 19480 21499 23376 29220 38960 42998 46752 58440 64497 77920 85996 107495 116880 128994 171992 214990 233760 257988 322485 343984 429980 515976 644970 687968 859960 1031952 1289940 1719920 2063904 2579880 3439840 5159760 10319520 10470013 20940026 31410039 41880052 52350065 62820078 83760104 104700130 125640156 157050195 167520208 209400260 251280312 314100390 335040416 418800520 502560624 628200780 837601040 1005121248 1256401560 1675202080 2512803120 5025606240