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88481052 = 223311711049
BaseRepresentation
bin1010100011000…
…01110100011100
320011111022012000
411101201310130
5140122343202
612440242300
72123035152
oct521416434
9204438160
1088481052
1145a44140
1225770390
131543c76a
14ba733d2
157b7b91c
hex5461d1c

88481052 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 26409600.

The previous prime is 88481047. The next prime is 88481087. The reversal of 88481052 is 25018488.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88480998 and 88481016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83824 + ... + 84872.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 288481052 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 88481052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

88481052 is an abundant number, since it is smaller than the sum of its proper divisors (165534948).

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

88481052 is a wasteful number, since it uses less digits than its factorization.

88481052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88481052 is about 9406.4367323658. The cubic root of 88481052 is about 445.6050382080.

The spelling of 88481052 in words is "eighty-eight million, four hundred eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 99 108 132 142 198 213 284 297 396 426 594 639 781 852 1049 1188 1278 1562 1917 2098 2343 2556 3124 3147 3834 4196 4686 6294 7029 7668 9372 9441 11539 12588 14058 18882 21087 23078 28116 28323 34617 37764 42174 46156 56646 69234 74479 84348 103851 113292 138468 148958 207702 223437 297916 311553 415404 446874 623106 670311 819269 893748 1246212 1340622 1638538 2010933 2457807 2681244 3277076 4021866 4915614 7373421 8043732 9831228 14746842 22120263 29493684 44240526 88481052