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993627045 = 3253721272
BaseRepresentation
bin111011001110011…
…000101110100101
32120020200111001200
4323032120232211
54013332031140
6242332513113
733423455565
oct7316305645
92506614050
10993627045
1146a970784
1223891b799
1312ab184c8
1495d6cda5
155c373030
hex3b398ba5

993627045 has 54 divisors (see below), whose sum is σ = 1784140722. Its totient is φ = 511551936.

The previous prime is 993627043. The next prime is 993627049. The reversal of 993627045 is 540726399.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 488321604 + 505305441 = 22098^2 + 22479^2 .

It is not a de Polignac number, because 993627045 - 21 = 993627043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993627043) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 7823772 + ... + 7823898.

It is an arithmetic number, because the mean of its divisors is an integer number (33039643).

Almost surely, 2993627045 is an apocalyptic number.

It is an amenable number.

993627045 is a deficient number, since it is larger than the sum of its proper divisors (790513677).

993627045 is a wasteful number, since it uses less digits than its factorization.

993627045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 993627045 is about 31521.8502788145. The cubic root of 993627045 is about 997.8711528926.

Multiplying 993627045 by its sum of digits (45), we get a square (44713217025 = 2114552).

993627045 divided by its sum of digits (45) gives a square (22080601 = 46992).

The spelling of 993627045 in words is "nine hundred ninety-three million, six hundred twenty-seven thousand, forty-five".

Divisors: 1 3 5 9 15 37 45 111 127 185 333 381 555 635 1143 1369 1665 1905 4107 4699 5715 6845 12321 14097 16129 20535 23495 42291 48387 61605 70485 80645 145161 173863 211455 241935 521589 596773 725805 869315 1564767 1790319 2607945 2983865 5370957 7823835 8951595 22080601 26854785 66241803 110403005 198725409 331209015 993627045