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97149024 = 2533716063
BaseRepresentation
bin1011100101001…
…10000001100000
320202210200102000
411302212001200
5144332232044
613350124000
72256516210
oct562460140
9222720360
1097149024
114a924555
1228650600
1317185c3b
14cc8c240
1587ded69
hex5ca6060

97149024 has 96 divisors (see below), whose sum is σ = 323850240. Its totient is φ = 27755136.

The previous prime is 97149011. The next prime is 97149061. The reversal of 97149024 is 42094179.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 97149024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1984 + ... + 14079.

It is an arithmetic number, because the mean of its divisors is an integer number (3373440).

Almost surely, 297149024 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 97149024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161925120).

97149024 is an abundant number, since it is smaller than the sum of its proper divisors (226701216).

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

97149024 is a wasteful number, since it uses less digits than its factorization.

97149024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16089 (or 16075 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97149024 is about 9856.4204455776. The cubic root of 97149024 is about 459.7052680360.

The spelling of 97149024 in words is "ninety-seven million, one hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 16063 32126 48189 64252 96378 112441 128504 144567 192756 224882 257008 289134 337323 385512 433701 449764 514016 578268 674646 771024 867402 899528 1011969 1156536 1349292 1542048 1734804 1799056 2023938 2313072 2698584 3035907 3469608 3598112 4047876 4626144 5397168 6071814 6939216 8095752 10794336 12143628 13878432 16191504 24287256 32383008 48574512 97149024