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97895028 = 223711531999
BaseRepresentation
bin1011101010111…
…00001001110100
320211012120201210
411311130021310
5200030120103
613414121420
72266044150
oct565341164
9224176653
1097895028
1150293a90
1228950270
131738766a
14d004060
1588dae03
hex5d5c274

97895028 has 96 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 24935040.

The previous prime is 97895023. The next prime is 97895033. The reversal of 97895028 is 82059879.

It is a happy number.

97895028 is a nontrivial binomial coefficient, being equal to C(13993, 2).

It is an interprime number because it is at equal distance from previous prime (97895023) and next prime (97895033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97895023) 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, 47973 + ... + 49971.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 297895028 is an apocalyptic number.

97895028 is the 13992-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97895028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

97895028 is an abundant number, since it is smaller than the sum of its proper divisors (192408972).

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

97895028 is a wasteful number, since it uses less digits than its factorization.

97895028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 97895028 is about 9894.1916294359. The cubic root of 97895028 is about 460.8789558655.

The spelling of 97895028 in words is "ninety-seven million, eight hundred ninety-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 53 66 77 84 106 132 154 159 212 231 308 318 371 462 583 636 742 924 1113 1166 1484 1749 1999 2226 2332 3498 3998 4081 4452 5997 6996 7996 8162 11994 12243 13993 16324 21989 23988 24486 27986 41979 43978 48972 55972 65967 83958 87956 105947 131934 153923 167916 211894 263868 307846 317841 423788 461769 615692 635682 741629 923538 1165417 1271364 1483258 1847076 2224887 2330834 2966516 3496251 4449774 4661668 6992502 8157919 8899548 13985004 16315838 24473757 32631676 48947514 97895028