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88792928 = 2571931673
BaseRepresentation
bin1010100101011…
…01111101100000
320012002010222222
411102231331200
5140212333203
612451050212
72125504340
oct522557540
9205063888
1088792928
1146137494
12258a0968
131551b6c3
14bb14d20
157bde038
hex54adf60

88792928 has 96 divisors (see below), whose sum is σ = 217405440. Its totient is φ = 34836480.

The previous prime is 88792883. The next prime is 88792937. The reversal of 88792928 is 82929788.

It is a Cunningham number, because it is equal to 94232-1.

It is a self number, because there is not a number n which added to its sum of digits gives 88792928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131600 + ... + 132272.

It is an arithmetic number, because the mean of its divisors is an integer number (2264640).

Almost surely, 288792928 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 88792928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108702720).

88792928 is an abundant number, since it is smaller than the sum of its proper divisors (128612512).

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

88792928 is a wasteful number, since it uses less digits than its factorization.

88792928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 53.

The square root of 88792928 is about 9422.9999469383. Note that the first 4 decimals coincide. The cubic root of 88792928 is about 446.1279771092.

The spelling of 88792928 in words is "eighty-eight million, seven hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 248 266 304 434 496 532 589 608 673 868 992 1064 1178 1346 1736 2128 2356 2692 3472 4123 4256 4711 4712 5384 6944 8246 9422 9424 10768 12787 16492 18844 18848 20863 21536 25574 32984 37688 41726 51148 65968 75376 83452 89509 102296 131936 146041 150752 166904 179018 204592 292082 333808 358036 396397 409184 584164 667616 716072 792794 1168328 1432144 1585588 2336656 2774779 2864288 3171176 4673312 5549558 6342352 11099116 12684704 22198232 44396464 88792928