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86777088 = 2831031097
BaseRepresentation
bin1010010110000…
…01110100000000
320001021201210020
411023001310000
5134203331323
612335533440
72102410266
oct513016400
9201251706
1086777088
1144a8aa02
122508a280
1314c93cb8
14b74c436
157941ae3
hex52c1d00

86777088 has 72 divisors (see below), whose sum is σ = 233408448. Its totient is φ = 28618752.

The previous prime is 86777083. The next prime is 86777101. The reversal of 86777088 is 88077768.

It is a self number, because there is not a number n which added to its sum of digits gives 86777088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86777083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78556 + ... + 79652.

It is an arithmetic number, because the mean of its divisors is an integer number (3241784).

Almost surely, 286777088 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 86777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116704224).

86777088 is an abundant number, since it is smaller than the sum of its proper divisors (146631360).

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

86777088 is a wasteful number, since it uses less digits than its factorization.

86777088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 51.

The square root of 86777088 is about 9315.4220516303. The cubic root of 86777088 is about 442.7259964671.

The spelling of 86777088 in words is "eighty-six million, seven hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 824 1097 1236 1648 2194 2472 3291 3296 4388 4944 6582 6592 8776 9888 13164 13184 17552 19776 26328 26368 35104 39552 52656 70208 79104 105312 112991 140416 210624 225982 280832 338973 421248 451964 677946 842496 903928 1355892 1807856 2711784 3615712 5423568 7231424 10847136 14462848 21694272 28925696 43388544 86777088