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95428608 = 213311353
BaseRepresentation
bin1011011000000…
…10000000000000
320122120021102220
411230002000000
5143412203413
613245211040
72236062342
oct554020000
9218507386
1095428608
1149959a20
1227b60a80
1316a02b42
14c961292
1585a0223
hex5b02000

95428608 has 112 divisors (see below), whose sum is σ = 278379936. Its totient is φ = 28835840.

The previous prime is 95428601. The next prime is 95428649. The reversal of 95428608 is 80682459.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 95428608.

It is not an unprimeable number, because it can be changed into a prime (95428601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270160 + ... + 270512.

Almost surely, 295428608 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 95428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139189968).

95428608 is an abundant number, since it is smaller than the sum of its proper divisors (182951328).

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

95428608 is a wasteful number, since it uses less digits than its factorization.

95428608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 95428608 is about 9768.7567274449. The cubic root of 95428608 is about 456.9754434596.

The spelling of 95428608 in words is "ninety-five million, four hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 353 384 512 528 704 706 768 1024 1056 1059 1408 1412 1536 2048 2112 2118 2816 2824 3072 3883 4096 4224 4236 5632 5648 6144 7766 8192 8448 8472 11264 11296 11649 12288 15532 16896 16944 22528 22592 23298 24576 31064 33792 33888 45056 45184 46596 62128 67584 67776 90112 90368 93192 124256 135168 135552 180736 186384 248512 270336 271104 361472 372768 497024 542208 722944 745536 994048 1084416 1445888 1491072 1988096 2168832 2891776 2982144 3976192 4337664 5964288 7952384 8675328 11928576 15904768 23857152 31809536 47714304 95428608