Search a number
-
+
88981312 = 267832393
BaseRepresentation
bin1010100110110…
…11111101000000
320012102201102011
411103123331000
5140234400222
612455102304
72130220510
oct523337500
9205381364
1088981312
1146255a82
1225971994
1315586384
14bb63840
157c29c77
hex54dbf40

88981312 has 56 divisors (see below), whose sum is σ = 204313536. Its totient is φ = 37659648.

The previous prime is 88981289. The next prime is 88981327. The reversal of 88981312 is 21318988.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35988 + ... + 38380.

It is an arithmetic number, because the mean of its divisors is an integer number (3648456).

Almost surely, 288981312 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 88981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102156768).

88981312 is an abundant number, since it is smaller than the sum of its proper divisors (115332224).

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

88981312 is a wasteful number, since it uses less digits than its factorization.

88981312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2485 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The square root of 88981312 is about 9432.9906180384. The cubic root of 88981312 is about 446.4432574997.

The spelling of 88981312 in words is "eighty-eight million, nine hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2393 2656 4648 4786 5312 9296 9572 16751 18592 19144 33502 37184 38288 67004 76576 134008 153152 198619 268016 397238 536032 794476 1072064 1390333 1588952 2780666 3177904 5561332 6355808 11122664 12711616 22245328 44490656 88981312