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95088640 = 21254643
BaseRepresentation
bin1011010101011…
…11000000000000
320121221000002111
411222233000000
5143320314030
613234025104
72233145233
oct552570000
9217830074
1095088640
1149747559
1227a18194
131691418a
14c8b341a
15853462a
hex5aaf000

95088640 has 52 divisors (see below), whose sum is σ = 228234024. Its totient is φ = 38027264.

The previous prime is 95088613. The next prime is 95088641. The reversal of 95088640 is 4688059.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 95088593 and 95088602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95088641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18159 + ... + 22801.

Almost surely, 295088640 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 95088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117012).

95088640 is an abundant number, since it is smaller than the sum of its proper divisors (133145384).

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

95088640 is an equidigital number, since it uses as much as digits as its factorization.

95088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 95088640 is about 9751.3404206806. The cubic root of 95088640 is about 456.4321337008.

The spelling of 95088640 in words is "ninety-five million, eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 4643 5120 9286 10240 18572 20480 23215 37144 46430 74288 92860 148576 185720 297152 371440 594304 742880 1188608 1485760 2377216 2971520 4754432 5943040 9508864 11886080 19017728 23772160 47544320 95088640