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95240000 = 26542381
BaseRepresentation
bin1011010110100…
…11111101000000
320122012200201102
411223103331000
5143340140000
613241153532
72234345432
oct553237500
9218180642
1095240000
1149840249
1227a8b8a8
131696803b
14c912652
1585643d5
hex5ad3f40

95240000 has 70 divisors (see below), whose sum is σ = 236263434. Its totient is φ = 38080000.

The previous prime is 95239999. The next prime is 95240003. The reversal of 95240000 is 4259.

It can be written as a sum of positive squares in 5 ways, for example, as 72046144 + 23193856 = 8488^2 + 4816^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95240003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38810 + ... + 41190.

Almost surely, 295240000 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 95240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118131717).

95240000 is an abundant number, since it is smaller than the sum of its proper divisors (141023434).

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

95240000 is an equidigital number, since it uses as much as digits as its factorization.

95240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 95240000 is about 9759.0983190047. The cubic root of 95240000 is about 456.6741848503.

Adding to 95240000 its reverse (4259), we get a palindrome (95244259).

The spelling of 95240000 in words is "ninety-five million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2381 2500 4000 4762 5000 8000 9524 10000 11905 19048 20000 23810 38096 40000 47620 59525 76192 95240 119050 152384 190480 238100 297625 380960 476200 595250 761920 952400 1190500 1488125 1904800 2381000 2976250 3809600 4762000 5952500 9524000 11905000 19048000 23810000 47620000 95240000