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813494016 = 28371453
BaseRepresentation
bin110000011111001…
…110111100000000
32002200201210000000
4300133032330000
53131223302031
6212420000000
726105404446
oct6037167400
92080653000
10813494016
11388218105
121a8530000
13cc6c8c0a
147a07cb96
154b6403e6
hex307cef00

813494016 has 144 divisors (see below), whose sum is σ = 2437020320. Its totient is φ = 270978048.

The previous prime is 813494009. The next prime is 813494023. The reversal of 813494016 is 610494318.

It is an interprime number because it is at equal distance from previous prime (813494009) and next prime (813494023).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 559146 + ... + 560598.

Almost surely, 2813494016 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 813494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218510160).

813494016 is an abundant number, since it is smaller than the sum of its proper divisors (1623526304).

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

813494016 is an frugal number, since it uses more digits than its factorization.

813494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 813494016 is about 28521.8164919417. The cubic root of 813494016 is about 933.5081649810.

The spelling of 813494016 in words is "eight hundred thirteen million, four hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1453 1458 1728 1944 2187 2304 2592 2906 2916 3456 3888 4359 4374 5184 5812 5832 6912 7776 8718 8748 10368 11624 11664 13077 15552 17436 17496 20736 23248 23328 26154 31104 34872 34992 39231 46496 46656 52308 62208 69744 69984 78462 92992 93312 104616 117693 139488 139968 156924 185984 186624 209232 235386 278976 279936 313848 353079 371968 418464 470772 557952 559872 627696 706158 836928 941544 1059237 1115904 1255392 1412316 1673856 1883088 2118474 2510784 2824632 3177711 3347712 3766176 4236948 5021568 5649264 6355422 7532352 8473896 10043136 11298528 12710844 15064704 16947792 22597056 25421688 30129408 33895584 45194112 50843376 67791168 90388224 101686752 135582336 203373504 271164672 406747008 813494016