Search a number
-
+
93208128 = 26313107349
BaseRepresentation
bin1011000111000…
…11111001000000
320111101110111220
411203203321000
5142330130003
613125435040
72211153546
oct543437100
9214343456
1093208128
1148682712
122726ba80
1316406250
14c543d96
1582b2353
hex58e3e40

93208128 has 112 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 28329984.

The previous prime is 93208109. The next prime is 93208139. The reversal of 93208128 is 82180239.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 266898 + ... + 267246.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 293208128 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 93208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

93208128 is an abundant number, since it is smaller than the sum of its proper divisors (175625472).

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

93208128 is a wasteful number, since it uses less digits than its factorization.

93208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 93208128 is about 9654.4356645016. The cubic root of 93208128 is about 453.4032149096.

The spelling of 93208128 in words is "ninety-three million, two hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 156 192 208 214 312 321 349 416 428 624 642 698 832 856 1047 1248 1284 1391 1396 1712 2094 2496 2568 2782 2792 3424 4173 4188 4537 5136 5564 5584 6848 8346 8376 9074 10272 11128 11168 13611 16692 16752 18148 20544 22256 22336 27222 33384 33504 36296 37343 44512 54444 66768 67008 72592 74686 89024 108888 112029 133536 145184 149372 217776 224058 267072 290368 298744 435552 448116 485459 597488 871104 896232 970918 1194976 1456377 1792464 1941836 2389952 2912754 3584928 3883672 5825508 7169856 7767344 11651016 15534688 23302032 31069376 46604064 93208128