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95898144 = 2531815519
BaseRepresentation
bin1011011011101…
…00101000100000
320200110010112010
411231310220200
5144022220034
613303232520
72243056266
oct555645040
9220403463
1095898144
114a14a771
1228148740
1316b38784
14ca44436
1586443e9
hex5b74a20

95898144 has 48 divisors (see below), whose sum is σ = 253169280. Its totient is φ = 31783680.

The previous prime is 95898107. The next prime is 95898151. The reversal of 95898144 is 44189859.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 95898093 and 95898102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14617 + ... + 20135.

It is an arithmetic number, because the mean of its divisors is an integer number (5274360).

Almost surely, 295898144 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 95898144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126584640).

95898144 is an abundant number, since it is smaller than the sum of its proper divisors (157271136).

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

95898144 is a wasteful number, since it uses less digits than its factorization.

95898144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5705 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 95898144 is about 9792.7597744456. The cubic root of 95898144 is about 457.7237008070.

The spelling of 95898144 in words is "ninety-five million, eight hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2896 4344 5519 5792 8688 11038 16557 17376 22076 33114 44152 66228 88304 132456 176608 264912 529824 998939 1997878 2996817 3995756 5993634 7991512 11987268 15983024 23974536 31966048 47949072 95898144