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42284800446 = 2373967253789
BaseRepresentation
bin100111011000010111…
…101101100110111110
311001010220022102111020
4213120113231212332
51143044402103241
631231514005010
73024566605410
oct473027554676
9131126272436
1042284800446
1116a29738479
128241116766
133cab5352a5
142091c009b0
1511773a4b66
hex9d85ed9be

42284800446 has 32 divisors (see below), whose sum is σ = 96675717120. Its totient is φ = 12078278496.

The previous prime is 42284800387. The next prime is 42284800471. The reversal of 42284800446 is 64400848224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42284800398 and 42284800407.

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, 39720 + ... + 293508.

It is an arithmetic number, because the mean of its divisors is an integer number (3021116160).

Almost surely, 242284800446 is an apocalyptic number.

42284800446 is an abundant number, since it is smaller than the sum of its proper divisors (54390916674).

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

42284800446 is a wasteful number, since it uses less digits than its factorization.

42284800446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257768.

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 42284800446 in words is "forty-two billion, two hundred eighty-four million, eight hundred thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 3967 7934 11901 23802 27769 55538 83307 166614 253789 507578 761367 1522734 1776523 3553046 5329569 10659138 1006780963 2013561926 3020342889 6040685778 7047466741 14094933482 21142400223 42284800446