Search a number
-
+
817434492 = 2237192392143
BaseRepresentation
bin110000101110010…
…000111101111100
32002222010222022120
4300232100331330
53133230400432
6213040242540
726154035640
oct6056207574
92088128276
10817434492
1138a4696a6
121a9910450
13100478664
147a7c6c20
154bb6cc2c
hex30b90f7c

817434492 has 96 divisors (see below), whose sum is σ = 2305228800. Its totient is φ = 220231872.

The previous prime is 817434487. The next prime is 817434521. The reversal of 817434492 is 294434718.

It is a super-2 number, since 2×8174344922 = 1336398297422596128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380373 + ... + 382515.

It is an arithmetic number, because the mean of its divisors is an integer number (24012800).

Almost surely, 2817434492 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 817434492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152614400).

817434492 is an abundant number, since it is smaller than the sum of its proper divisors (1487794308).

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

817434492 is a wasteful number, since it uses less digits than its factorization.

817434492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2413 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 817434492 is about 28590.8113211220. The cubic root of 817434492 is about 935.0130082932.

The spelling of 817434492 in words is "eight hundred seventeen million, four hundred thirty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 239 266 399 478 532 717 798 956 1434 1596 1673 2143 2868 3346 4286 4541 5019 6429 6692 8572 9082 10038 12858 13623 15001 18164 20076 25716 27246 30002 31787 40717 45003 54492 60004 63574 81434 90006 95361 122151 127148 162868 180012 190722 244302 285019 381444 488604 512177 570038 855057 1024354 1140076 1536531 1710114 2048708 3073062 3420228 3585239 6146124 7170478 9731363 10755717 14340956 19462726 21511434 29194089 38925452 43022868 58388178 68119541 116776356 136239082 204358623 272478164 408717246 817434492