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95044992 = 2737191861
BaseRepresentation
bin1011010101001…
…00010110000000
320121211210012220
411222210112000
5143312414432
613233051040
72232604050
oct552442600
9217753186
1095044992
1149717789
12279b6a80
13168ca353
14c8a1560
15852672c
hex5aa4580

95044992 has 128 divisors (see below), whose sum is σ = 303878400. Its totient is φ = 25712640.

The previous prime is 95044991. The next prime is 95045009. The reversal of 95044992 is 29944059.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95044991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50142 + ... + 52002.

It is an arithmetic number, because the mean of its divisors is an integer number (2374050).

Almost surely, 295044992 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 95044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939200).

95044992 is an abundant number, since it is smaller than the sum of its proper divisors (208833408).

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

95044992 is a wasteful number, since it uses less digits than its factorization.

95044992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 95044992 is about 9749.1021125025. The cubic root of 95044992 is about 456.3622851930.

The spelling of 95044992 in words is "ninety-five million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 1861 2128 2432 2688 3192 3648 3722 4256 5583 6384 7296 7444 8512 11166 12768 13027 14888 17024 22332 25536 26054 29776 35359 39081 44664 51072 52108 59552 70718 78162 89328 104216 106077 119104 141436 156324 178656 208432 212154 238208 247513 282872 312648 357312 416864 424308 495026 565744 625296 714624 742539 833728 848616 990052 1131488 1250592 1485078 1667456 1697232 1980104 2262976 2501184 2970156 3394464 3960208 4525952 5002368 5940312 6788928 7920416 11880624 13577856 15840832 23761248 31681664 47522496 95044992