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790381488 = 243134193023
BaseRepresentation
bin101111000111000…
…100001110110000
32001002020112120110
4233013010032300
53104314201423
6210232341320
725405063131
oct5707041660
92032215513
10790381488
11376171346
121a0844840
13c7995b70
1476d83c88
15495c7193
hex2f1c43b0

790381488 has 80 divisors (see below), whose sum is σ = 2204858880. Its totient is φ = 242533632.

The previous prime is 790381483. The next prime is 790381517. The reversal of 790381488 is 884183097.

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 (790381483) 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, 259945 + ... + 262967.

It is an arithmetic number, because the mean of its divisors is an integer number (27560736).

Almost surely, 2790381488 is an apocalyptic number.

790381488 is a gapful number since it is divisible by the number (78) 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 790381488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102429440).

790381488 is an abundant number, since it is smaller than the sum of its proper divisors (1414477392).

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

790381488 is a wasteful number, since it uses less digits than its factorization.

790381488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 790381488 is about 28113.7241929987. The cubic root of 790381488 is about 924.5823244085.

The spelling of 790381488 in words is "seven hundred ninety million, three hundred eighty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 419 624 838 1257 1676 2514 3023 3352 5028 5447 6046 6704 9069 10056 10894 12092 16341 18138 20112 21788 24184 32682 36276 39299 43576 48368 65364 72552 78598 87152 117897 130728 145104 157196 235794 261456 314392 471588 628784 943176 1266637 1886352 2533274 3799911 5066548 7599822 10133096 15199644 16466281 20266192 30399288 32932562 49398843 60798576 65865124 98797686 131730248 197595372 263460496 395190744 790381488