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494170272 = 253223611223
BaseRepresentation
bin11101011101000…
…111000010100000
31021102212110011200
4131131013002200
52003001422042
6121011441200
715150243441
oct3535070240
91242773150
10494170272
11233a45492
121195b6200
137b4c375b
14498b92c8
152d5b5c4c
hex1d7470a0

494170272 has 144 divisors (see below), whose sum is σ = 1491654528. Its totient is φ = 154851840.

The previous prime is 494170231. The next prime is 494170273. The reversal of 494170272 is 272071494.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (494170273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403453 + ... + 404675.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 2494170272 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 494170272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745827264).

494170272 is an abundant number, since it is smaller than the sum of its proper divisors (997484256).

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

494170272 is a wasteful number, since it uses less digits than its factorization.

494170272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 494170272 is about 22229.9408906097. The cubic root of 494170272 is about 790.6037536032.

The spelling of 494170272 in words is "four hundred ninety-four million, one hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 61 69 72 92 96 122 138 144 183 184 207 244 276 288 366 368 414 488 549 552 732 736 828 976 1098 1104 1223 1403 1464 1656 1952 2196 2208 2446 2806 2928 3312 3669 4209 4392 4892 5612 5856 6624 7338 8418 8784 9784 11007 11224 12627 14676 16836 17568 19568 22014 22448 25254 28129 29352 33672 39136 44028 44896 50508 56258 58704 67344 74603 84387 88056 101016 112516 117408 134688 149206 168774 176112 202032 223809 225032 253161 298412 337548 352224 404064 447618 450064 506322 596824 671427 675096 895236 900128 1012644 1193648 1342854 1350192 1715869 1790472 2025288 2387296 2685708 2700384 3431738 3580944 4050576 5147607 5371416 6863476 7161888 8101152 10295214 10742832 13726952 15442821 20590428 21485664 27453904 30885642 41180856 54907808 61771284 82361712 123542568 164723424 247085136 494170272