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97422642 = 2334179557
BaseRepresentation
bin1011100111010…
…00110100110010
320210022120202000
411303220310302
5144420011032
613400034430
72262036012
oct563506462
9223276660
1097422642
114aaa1089
1228762a16
1317250645
14cd1dc42
158845e7c
hex5ce8d32

97422642 has 64 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 31224960.

The previous prime is 97422617. The next prime is 97422643. The reversal of 97422642 is 24622479.

97422642 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97422597 and 97422606.

It is not an unprimeable number, because it can be changed into a prime (97422643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174628 + ... + 175184.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 297422642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97422642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

97422642 is an abundant number, since it is smaller than the sum of its proper divisors (127562958).

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

97422642 is a wasteful number, since it uses less digits than its factorization.

97422642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 97422642 is about 9870.2908771728. The cubic root of 97422642 is about 460.1364466053.

The spelling of 97422642 in words is "ninety-seven million, four hundred twenty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 79 82 123 158 237 246 369 474 557 711 738 1107 1114 1422 1671 2133 2214 3239 3342 4266 5013 6478 9717 10026 15039 19434 22837 29151 30078 44003 45674 58302 68511 87453 88006 132009 137022 174906 205533 264018 396027 411066 616599 792054 1188081 1233198 1804123 2376162 3608246 5412369 10824738 16237107 32474214 48711321 97422642