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406408944 = 243157199271
BaseRepresentation
bin11000001110010…
…100111011110000
31001022201201021010
4120032110323300
51313020041234
6104154430520
713033263504
oct3016247360
91038651233
10406408944
11199453067
12b4132440
1366276786
143bd92304
1525a2c6e9
hex18394ef0

406408944 has 80 divisors (see below), whose sum is σ = 1065804800. Its totient is φ = 133436160.

The previous prime is 406408927. The next prime is 406408963. The reversal of 406408944 is 449804604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499529 + ... + 1499799.

It is an arithmetic number, because the mean of its divisors is an integer number (13322560).

Almost surely, 2406408944 is an apocalyptic number.

It is an amenable number.

406408944 is an abundant number, since it is smaller than the sum of its proper divisors (659395856).

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

406408944 is a wasteful number, since it uses less digits than its factorization.

406408944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 406408944 is about 20159.5869005295. The cubic root of 406408944 is about 740.7205934258.

The spelling of 406408944 in words is "four hundred six million, four hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 199 271 314 398 471 542 597 628 796 813 942 1084 1194 1256 1592 1626 1884 2168 2388 2512 3184 3252 3768 4336 4776 6504 7536 9552 13008 31243 42547 53929 62486 85094 93729 107858 124972 127641 161787 170188 187458 215716 249944 255282 323574 340376 374916 431432 499888 510564 647148 680752 749832 862864 1021128 1294296 1499664 2042256 2588592 8466853 16933706 25400559 33867412 50801118 67734824 101602236 135469648 203204472 406408944