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97065552 = 24329103677
BaseRepresentation
bin1011100100100…
…01101001010000
320202122102220110
411302101221100
5144322044202
613344241320
72256020643
oct562215120
9222572813
1097065552
114a877871
1228610240
1317156c4c
14cc69a5a
1587c526c
hex5c91a50

97065552 has 80 divisors (see below), whose sum is σ = 262304640. Its totient is φ = 30890496.

The previous prime is 97065539. The next prime is 97065571. The reversal of 97065552 is 25556079.

It is a self number, because there is not a number n which added to its sum of digits gives 97065552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143038 + ... + 143714.

It is an arithmetic number, because the mean of its divisors is an integer number (3278808).

Almost surely, 297065552 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 97065552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131152320).

97065552 is an abundant number, since it is smaller than the sum of its proper divisors (165239088).

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

97065552 is a wasteful number, since it uses less digits than its factorization.

97065552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 97065552 is about 9852.1851383335. The cubic root of 97065552 is about 459.5735682621.

The spelling of 97065552 in words is "ninety-seven million, sixty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 103 116 174 206 232 309 348 412 464 618 677 696 824 1236 1354 1392 1648 2031 2472 2708 2987 4062 4944 5416 5974 8124 8961 10832 11948 16248 17922 19633 23896 32496 35844 39266 47792 58899 69731 71688 78532 117798 139462 143376 157064 209193 235596 278924 314128 418386 471192 557848 836772 942384 1115696 1673544 2022199 3347088 4044398 6066597 8088796 12133194 16177592 24266388 32355184 48532776 97065552