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469080768 = 26313238171
BaseRepresentation
bin11011111101011…
…001101011000000
31012200122202211210
4123331121223000
51430041041033
6114314010120
714424056262
oct3375315300
91180582753
10469080768
11220869362
12111116940
137624a8b0
1446427b32
152b2abd63
hex1bf59ac0

469080768 has 112 divisors (see below), whose sum is σ = 1394862336. Its totient is φ = 138040320.

The previous prime is 469080767. The next prime is 469080811. The reversal of 469080768 is 867080964.

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

It is not an unprimeable number, because it can be changed into a prime (469080761) 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, 53323 + ... + 61493.

It is an arithmetic number, because the mean of its divisors is an integer number (12454128).

Almost surely, 2469080768 is an apocalyptic number.

469080768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697431168).

469080768 is an abundant number, since it is smaller than the sum of its proper divisors (925781568).

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

469080768 is a wasteful number, since it uses less digits than its factorization.

469080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8222 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 469080768 is about 21658.2725072892. The cubic root of 469080768 is about 776.9907987428.

It can be divided in two parts, 4690 and 80768, that added together give a palindrome (85458).

The spelling of 469080768 in words is "four hundred sixty-nine million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1104 1196 1248 1472 1794 2208 2392 2496 3588 4416 4784 7176 8171 9568 14352 16342 19136 24513 28704 32684 49026 57408 65368 98052 106223 130736 187933 196104 212446 261472 318669 375866 392208 424892 522944 563799 637338 751732 784416 849784 1127598 1274676 1503464 1568832 1699568 2255196 2443129 2549352 3006928 3399136 4510392 4886258 5098704 6013856 6798272 7329387 9020784 9772516 10197408 12027712 14658774 18041568 19545032 20394816 29317548 36083136 39090064 58635096 78180128 117270192 156360256 234540384 469080768