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763328048 = 24723535591
BaseRepresentation
bin101101011111110…
…111011000110000
31222012100002020012
4231133313120300
53030402444143
6203424434052
724626116130
oct5537673060
91865302205
10763328048
1136197372a
12193778928
13c21b3102
1473540ac0
1547031418
hex2d7f7630

763328048 has 80 divisors (see below), whose sum is σ = 1797313536. Its totient is φ = 306958080.

The previous prime is 763328047. The next prime is 763328057. The reversal of 763328048 is 840823367.

It is a junction number, because it is equal to n+sod(n) for n = 763327996 and 763328014.

It is not an unprimeable number, because it can be changed into a prime (763328047) 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, 133733 + ... + 139323.

Almost surely, 2763328048 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 763328048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898656768).

763328048 is an abundant number, since it is smaller than the sum of its proper divisors (1033985488).

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

763328048 is a wasteful number, since it uses less digits than its factorization.

763328048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 763328048 is about 27628.3920632381. The cubic root of 763328048 is about 913.9106539941.

The spelling of 763328048 in words is "seven hundred sixty-three million, three hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 184 212 322 368 371 424 644 742 848 1219 1288 1484 2438 2576 2968 4876 5591 5936 8533 9752 11182 17066 19504 22364 34132 39137 44728 68264 78274 89456 128593 136528 156548 257186 296323 313096 514372 592646 626192 900151 1028744 1185292 1800302 2057488 2074261 2370584 3600604 4148522 4741168 6815429 7201208 8297044 13630858 14402416 16594088 27261716 33188176 47708003 54523432 95416006 109046864 190832012 381664024 763328048