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1404994248 = 23347244249
BaseRepresentation
bin101001110111110…
…1000001011001000
310121220202002210000
41103233220023020
510334134303443
6351225523000
746550153100
oct12357501310
93556662700
101404994248
1166109aa79
12332643460
13195109a58
14d4852200
158352e8d3
hex53be82c8

1404994248 has 120 divisors (see below), whose sum is σ = 4577883750. Its totient is φ = 401417856.

The previous prime is 1404994231. The next prime is 1404994249. The reversal of 1404994248 is 8424994041.

It can be written as a sum of positive squares in only one way, i.e., 1400406084 + 4588164 = 37422^2 + 2142^2 .

It is not an unprimeable number, because it can be changed into a prime (1404994249) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9628 + ... + 53876.

Almost surely, 21404994248 is an apocalyptic number.

1404994248 is a gapful number since it is divisible by the number (18) 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 1404994248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288941875).

1404994248 is an abundant number, since it is smaller than the sum of its proper divisors (3172889502).

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

1404994248 is a wasteful number, since it uses less digits than its factorization.

1404994248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44281 (or 44261 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1404994248 is about 37483.2529004621. The cubic root of 1404994248 is about 1120.0176038900.

The spelling of 1404994248 in words is "one billion, four hundred four million, nine hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 44249 88498 132747 176996 265494 309743 353992 398241 530988 619486 796482 929229 1061976 1194723 1238972 1592964 1858458 2168201 2389446 2477944 2787687 3185928 3584169 3716916 4336402 4778892 5575374 6504603 7168338 7433832 8363061 8672804 9557784 11150748 13009206 14336676 16726122 17345608 19513809 22301496 25089183 26018412 28673352 33452244 39027618 50178366 52036824 58541427 66904488 78055236 100356732 117082854 156110472 175624281 200713464 234165708 351248562 468331416 702497124 1404994248