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97015002 = 2372794177
BaseRepresentation
bin1011100100001…
…01010011011010
320202112212120020
411302011103122
5144313440002
613343211310
72255420400
oct562052332
9222485506
1097015002
114a842897
12285a6b36
1317139c36
14cc55470
1587b52bc
hex5c854da

97015002 has 48 divisors (see below), whose sum is σ = 228620160. Its totient is φ = 27361152.

The previous prime is 97015001. The next prime is 97015013. The reversal of 97015002 is 20051079.

It is a super-2 number, since 2×970150022 = 18823821226120008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97015001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21138 + ... + 25314.

It is an arithmetic number, because the mean of its divisors is an integer number (4762920).

Almost surely, 297015002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97015002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114310080).

97015002 is an abundant number, since it is smaller than the sum of its proper divisors (131605158).

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

97015002 is a wasteful number, since it uses less digits than its factorization.

97015002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 97015002 is about 9849.6193835092. The cubic root of 97015002 is about 459.4937751827.

The spelling of 97015002 in words is "ninety-seven million, fifteen thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 474 553 1106 1659 3318 3871 4177 7742 8354 11613 12531 23226 25062 29239 58478 87717 175434 204673 329983 409346 614019 659966 989949 1228038 1979898 2309881 4619762 6929643 13859286 16169167 32338334 48507501 97015002