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5202368928 = 253229622889
BaseRepresentation
bin1001101100001010…
…11101100110100000
3111102120011201112200
410312011131212200
541123301301203
62220120453200
7242630256231
oct46605354640
914376151480
105202368928
11222a668859
12101231a200
1364ba65213
14374cdd088
15206acc9a3
hex13615d9a0

5202368928 has 72 divisors (see below), whose sum is σ = 15304407300. Its totient is φ = 1674322944.

The previous prime is 5202368923. The next prime is 5202368933. The reversal of 5202368928 is 8298632025.

It is a happy number.

5202368928 is a `hidden beast` number, since 520 + 2 + 36 + 8 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5202368923) and next prime (5202368933).

It can be written as a sum of positive squares in 2 ways, for example, as 5134009104 + 68359824 = 71652^2 + 8268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5202368921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303093 + ... + 319796.

Almost surely, 25202368928 is an apocalyptic number.

5202368928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5202368928 is an abundant number, since it is smaller than the sum of its proper divisors (10102038372).

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

5202368928 is a wasteful number, since it uses less digits than its factorization.

5202368928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622934 (or 622923 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5202368928 is about 72127.4491993166. The cubic root of 5202368928 is about 1732.7412551095.

The spelling of 5202368928 in words is "five billion, two hundred two million, three hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 622889 1245778 1868667 2491556 3737334 4983112 5606001 7474668 9966224 11212002 14949336 18063781 19932448 22424004 29898672 36127562 44848008 54191343 59797344 72255124 89696016 108382686 144510248 162574029 179392032 216765372 289020496 325148058 433530744 578040992 650296116 867061488 1300592232 1734122976 2601184464 5202368928