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64789248 = 283292909
BaseRepresentation
bin1111011100100…
…1101100000000
311111220122010210
43313021230000
5113041223443
610232354120
71414461636
oct367115400
9144818123
1064789248
1133632137
1219845940
1310565b44
148867356
155a4bc33
hex3dc9b00

64789248 has 72 divisors (see below), whose sum is σ = 178441200. Its totient is φ = 20844544.

The previous prime is 64789217. The next prime is 64789253. The reversal of 64789248 is 84298746.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 64789197 and 64789206.

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, 20818 + ... + 23726.

It is an arithmetic number, because the mean of its divisors is an integer number (2478350).

Almost surely, 264789248 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 64789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89220600).

64789248 is an abundant number, since it is smaller than the sum of its proper divisors (113651952).

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

64789248 is a wasteful number, since it uses less digits than its factorization.

64789248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2943 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 64789248 is about 8049.1768523247. The cubic root of 64789248 is about 401.6375535641.

The spelling of 64789248 in words is "sixty-four million, seven hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 2909 3712 5568 5818 7424 8727 11136 11636 17454 22272 23272 34908 46544 69816 84361 93088 139632 168722 186176 253083 279264 337444 372352 506166 558528 674888 744704 1012332 1117056 1349776 2024664 2234112 2699552 4049328 5399104 8098656 10798208 16197312 21596416 32394624 64789248