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864117492 = 223719678081
BaseRepresentation
bin110011100000010…
…110001011110100
32020012222201100120
4303200112023310
53232203224432
6221425011540
730261606660
oct6340261364
92205881316
10864117492
11403854297
12201483bb0
1310a042034
1482a998a0
1550cdec2c
hex338162f4

864117492 has 96 divisors (see below), whose sum is σ = 2462100480. Its totient is φ = 230376960.

The previous prime is 864117487. The next prime is 864117509. The reversal of 864117492 is 294711468.

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, 102892 + ... + 110972.

It is an arithmetic number, because the mean of its divisors is an integer number (25646880).

Almost surely, 2864117492 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 864117492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231050240).

864117492 is an abundant number, since it is smaller than the sum of its proper divisors (1597982988).

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

864117492 is a wasteful number, since it uses less digits than its factorization.

864117492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8179 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 864117492 is about 29395.8754249640. The cubic root of 864117492 is about 952.4838021233.

The spelling of 864117492 in words is "eight hundred sixty-four million, one hundred seventeen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 67 76 84 114 133 134 201 228 266 268 399 402 469 532 798 804 938 1273 1407 1596 1876 2546 2814 3819 5092 5628 7638 8081 8911 15276 16162 17822 24243 26733 32324 35644 48486 53466 56567 96972 106932 113134 153539 169701 226268 307078 339402 460617 541427 614156 678804 921234 1074773 1082854 1624281 1842468 2149546 2165708 3224319 3248562 3789989 4299092 6448638 6497124 7579978 10287113 11369967 12897276 15159956 20574226 22739934 30861339 41148452 45479868 61722678 72009791 123445356 144019582 216029373 288039164 432058746 864117492