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420410496 = 2731199529
BaseRepresentation
bin11001000011101…
…111010010000000
31002022002001210010
4121003233102000
51330111113441
6105414504520
713263300402
oct3103572200
91068061703
10420410496
111a63466a0
12b8965140
136913980c
143db98b72
1526d96116
hex190ef480

420410496 has 64 divisors (see below), whose sum is σ = 1218247200. Its totient is φ = 127395840.

The previous prime is 420410489. The next prime is 420410509. The reversal of 420410496 is 694014024.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45541 + ... + 53988.

Almost surely, 2420410496 is an apocalyptic number.

It is an amenable number.

420410496 is an abundant number, since it is smaller than the sum of its proper divisors (797836704).

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

420410496 is a wasteful number, since it uses less digits than its factorization.

420410496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99557 (or 99545 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 420410496 is about 20503.9141629105. The cubic root of 420410496 is about 749.1311396086.

The spelling of 420410496 in words is "four hundred twenty million, four hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 99529 199058 298587 398116 597174 796232 1094819 1194348 1592464 2189638 2388696 3184928 3284457 4379276 4777392 6369856 6568914 8758552 9554784 12739712 13137828 17517104 19109568 26275656 35034208 38219136 52551312 70068416 105102624 140136832 210205248 420410496