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97162992 = 24322953439
BaseRepresentation
bin1011100101010…
…01011011110000
320202211101120100
411302221123300
5144333203432
613350312400
72256605013
oct562513360
9222741510
1097162992
114a933aa3
1228658700
131718c3c4
14cc9337a
1587e407c
hex5ca96f0

97162992 has 120 divisors (see below), whose sum is σ = 287258400. Its totient is φ = 30610944.

The previous prime is 97162987. The next prime is 97163039. The reversal of 97162992 is 29926179.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221109 + ... + 221547.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 297162992 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 97162992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629200).

97162992 is an abundant number, since it is smaller than the sum of its proper divisors (190095408).

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

97162992 is a wasteful number, since it uses less digits than its factorization.

97162992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 97162992 is about 9857.1289937791. The cubic root of 97162992 is about 459.7272989846.

The spelling of 97162992 in words is "ninety-seven million, one hundred sixty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 53 58 72 87 106 116 144 159 174 212 232 261 318 348 424 439 464 477 522 636 696 848 878 954 1044 1272 1317 1392 1537 1756 1908 2088 2544 2634 3074 3512 3816 3951 4176 4611 5268 6148 7024 7632 7902 9222 10536 12296 12731 13833 15804 18444 21072 23267 24592 25462 27666 31608 36888 38193 46534 50924 55332 63216 69801 73776 76386 93068 101848 110664 114579 139602 152772 186136 203696 209403 221328 229158 279204 305544 372272 418806 458316 558408 611088 674743 837612 916632 1116816 1349486 1675224 1833264 2024229 2698972 3350448 4048458 5397944 6072687 8096916 10795888 12145374 16193832 24290748 32387664 48581496 97162992