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412949097 = 35111947173
BaseRepresentation
bin11000100111010…
…001101001101001
31001210000222200000
4120213101221221
51321203332342
6104550533213
713143003141
oct3047215151
91053028600
10412949097
111a210a850
12b6367209
13677265a2
143cbb5921
15263c044c
hex189d1a69

412949097 has 96 divisors (see below), whose sum is σ = 729630720. Its totient is φ = 230713920.

The previous prime is 412949071. The next prime is 412949113. The reversal of 412949097 is 790949214.

It is a happy number.

It is not a de Polignac number, because 412949097 - 28 = 412948841 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412949027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2386903 + ... + 2387075.

It is an arithmetic number, because the mean of its divisors is an integer number (7600320).

Almost surely, 2412949097 is an apocalyptic number.

412949097 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

412949097 is a deficient number, since it is larger than the sum of its proper divisors (316681623).

412949097 is a wasteful number, since it uses less digits than its factorization.

412949097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 412949097 is about 20321.1490078686. The cubic root of 412949097 is about 744.6728272277.

The spelling of 412949097 in words is "four hundred twelve million, nine hundred forty-nine thousand, ninety-seven".

Divisors: 1 3 9 11 19 27 33 47 57 81 99 141 171 173 209 243 297 423 513 517 519 627 891 893 1269 1539 1551 1557 1881 1903 2673 2679 3287 3807 4617 4653 4671 5643 5709 8037 8131 9823 9861 11421 13959 14013 16929 17127 24111 24393 29469 29583 36157 41877 42039 50787 51381 72333 73179 88407 88749 89441 108471 125631 154143 154489 216999 219537 265221 266247 268323 325413 462429 463467 658611 795663 798741 804969 976239 1390401 1699379 1975833 2386989 2414907 2928717 4171203 5098137 7244721 8786151 12513609 15294411 21734163 37540827 45883233 137649699 412949097