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95380992 = 293272957
BaseRepresentation
bin1011010111101…
…10011000000000
320122110212010100
411223312120000
5143404142432
613244202400
72235503460
oct553663000
9218425110
1095380992
1149927173
1227b39400
13169b7275
14c94bba0
15859107c
hex5af6600

95380992 has 120 divisors (see below), whose sum is σ = 314707536. Its totient is φ = 27242496.

The previous prime is 95380991. The next prime is 95381021. The reversal of 95380992 is 29908359.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95380991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30778 + ... + 33734.

Almost surely, 295380992 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 95380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157353768).

95380992 is an abundant number, since it is smaller than the sum of its proper divisors (219326544).

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

95380992 is a wasteful number, since it uses less digits than its factorization.

95380992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 95380992 is about 9766.3192657213. The cubic root of 95380992 is about 456.8994251556.

The spelling of 95380992 in words is "ninety-five million, three hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 2957 3584 4032 4608 5376 5914 8064 8871 10752 11828 16128 17742 20699 23656 26613 32256 35484 41398 47312 53226 62097 70968 82796 94624 106452 124194 141936 165592 186291 189248 212904 248388 283872 331184 372582 378496 425808 496776 567744 662368 745164 756992 851616 993552 1135488 1324736 1490328 1513984 1703232 1987104 2270976 2649472 2980656 3406464 3974208 4541952 5298944 5961312 6812928 7948416 10597888 11922624 13625856 15896832 23845248 31793664 47690496 95380992