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80294928 = 243734877
BaseRepresentation
bin1001100100100…
…11010000010000
312121002101221020
410302103100100
5131023414203
611544555440
71663332000
oct462232020
9177071836
1080294928
114136284a
1222a82b80
13138346bc
14a942000
1570b1153
hex4c93410

80294928 has 80 divisors (see below), whose sum is σ = 241948800. Its totient is φ = 22936704.

The previous prime is 80294923. The next prime is 80294983. The reversal of 80294928 is 82949208.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 80294928.

It is not an unprimeable number, because it can be changed into a prime (80294923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14026 + ... + 18902.

It is an arithmetic number, because the mean of its divisors is an integer number (3024360).

Almost surely, 280294928 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 80294928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120974400).

80294928 is an abundant number, since it is smaller than the sum of its proper divisors (161653872).

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

80294928 is a wasteful number, since it uses less digits than its factorization.

80294928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 80294928 is about 8960.7437191340. The cubic root of 80294928 is about 431.4157912429.

The spelling of 80294928 in words is "eighty million, two hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 4877 5488 8232 9754 14631 16464 19508 29262 34139 39016 58524 68278 78032 102417 117048 136556 204834 234096 238973 273112 409668 477946 546224 716919 819336 955892 1433838 1638672 1672811 1911784 2867676 3345622 3823568 5018433 5735352 6691244 10036866 11470704 13382488 20073732 26764976 40147464 80294928