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795248064 = 26331335401
BaseRepresentation
bin101111011001101…
…000010111000000
32001102101210021000
4233121220113000
53112040414224
6210524532000
725464332322
oct5731502700
92042353230
10795248064
11378995706
121a23b1000
13c89aacb0
147788d612
1549c390c9
hex2f6685c0

795248064 has 112 divisors (see below), whose sum is σ = 2517790240. Its totient is φ = 244684800.

The previous prime is 795248039. The next prime is 795248081. The reversal of 795248064 is 460842597.

It is a happy number.

It is a congruent number.

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, 4764 + ... + 40164.

It is an arithmetic number, because the mean of its divisors is an integer number (22480270).

Almost surely, 2795248064 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 795248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258895120).

795248064 is an abundant number, since it is smaller than the sum of its proper divisors (1722542176).

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

795248064 is a wasteful number, since it uses less digits than its factorization.

795248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35435 (or 35419 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 795248064 is about 28200.1429783609. The cubic root of 795248064 is about 926.4760709634.

The spelling of 795248064 in words is "seven hundred ninety-five million, two hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 35401 70802 106203 141604 212406 283208 318609 424812 460213 566416 637218 849624 920426 955827 1132832 1274436 1380639 1699248 1840852 1911654 2265664 2548872 2761278 3398496 3681704 3823308 4141917 5097744 5522556 6796992 7363408 7646616 8283834 10195488 11045112 12425751 14726816 15293232 16567668 20390976 22090224 24851502 29453632 30586464 33135336 44180448 49703004 61172928 66270672 88360896 99406008 132541344 198812016 265082688 397624032 795248064