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997471152 = 243310122861
BaseRepresentation
bin111011011101000…
…011001110110000
32120111220210012000
4323131003032300
54020323034102
6242551134000
733501236106
oct7335031660
92514823160
10997471152
11472056927
1223a074300
1312b863122
149668dc76
155c88201c
hex3b7433b0

997471152 has 80 divisors (see below), whose sum is σ = 2891585760. Its totient is φ = 329184000.

The previous prime is 997471109. The next prime is 997471171. The reversal of 997471152 is 251174799.

It is a super-3 number, since 3×9974711523 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 997471098 and 997471107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32202 + ... + 55062.

It is an arithmetic number, because the mean of its divisors is an integer number (36144822).

Almost surely, 2997471152 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 997471152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445792880).

997471152 is an abundant number, since it is smaller than the sum of its proper divisors (1894114608).

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

997471152 is a wasteful number, since it uses less digits than its factorization.

997471152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22979 (or 22967 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 997471152 is about 31582.7666932459. The cubic root of 997471152 is about 999.1563391031.

The spelling of 997471152 in words is "nine hundred ninety-seven million, four hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 4848 5454 7272 10908 14544 21816 22861 43632 45722 68583 91444 137166 182888 205749 274332 365776 411498 548664 617247 822996 1097328 1234494 1645992 2308961 2468988 3291984 4617922 4937976 6926883 9235844 9875952 13853766 18471688 20780649 27707532 36943376 41561298 55415064 62341947 83122596 110830128 124683894 166245192 249367788 332490384 498735576 997471152