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406997890 = 251329891213
BaseRepresentation
bin11000010000100…
…100101110000010
31001100211122010221
4120100210232002
51313142413030
6104215213254
713041265525
oct3020445602
91040748127
10406997890
111998155a2
12b437722a
1366421870
143c0a6bbc
1525ae6e7a
hex18424b82

406997890 has 64 divisors (see below), whose sum is σ = 826005600. Its totient is φ = 143345664.

The previous prime is 406997869. The next prime is 406997893. The reversal of 406997890 is 98799604.

It can be written as a sum of positive squares in 16 ways, for example, as 39853969 + 367143921 = 6313^2 + 19161^2 .

It is not an unprimeable number, because it can be changed into a prime (406997893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334924 + ... + 336136.

Almost surely, 2406997890 is an apocalyptic number.

406997890 is an abundant number, since it is smaller than the sum of its proper divisors (419007710).

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

406997890 is a wasteful number, since it uses less digits than its factorization.

406997890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351.

The product of its (nonzero) digits is 979776, while the sum is 52.

The square root of 406997890 is about 20174.1887073557. The cubic root of 406997890 is about 741.0782248865.

The spelling of 406997890 in words is "four hundred six million, nine hundred ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 5 10 13 26 29 58 65 89 130 145 178 290 377 445 754 890 1157 1213 1885 2314 2426 2581 3770 5162 5785 6065 11570 12130 12905 15769 25810 31538 33553 35177 67106 70354 78845 107957 157690 167765 175885 215914 335530 351770 457301 539785 914602 1079570 1403441 2286505 2806882 3130753 4573010 6261506 7017205 14034410 15653765 31307530 40699789 81399578 203498945 406997890