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40220964 = 2232721512
BaseRepresentation
bin1001100101101…
…1100100100100
32210200102210100
42121123210210
540244032324
63554024100
7665605200
oct231334444
983612710
1040220964
1120781673
1211578030
1384432b4
1454adb00
1537e74c9
hex265b924

40220964 has 81 divisors (see below), whose sum is σ = 119057211. Its totient is φ = 11415600.

The previous prime is 40220933. The next prime is 40220987. The reversal of 40220964 is 46902204.

The square root of 40220964 is 6342.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 266289 + ... + 266439.

Almost surely, 240220964 is an apocalyptic number.

40220964 is the 6342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40220964

40220964 is an abundant number, since it is smaller than the sum of its proper divisors (78836247).

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

40220964 is a wasteful number, since it uses less digits than its factorization.

40220964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 40220964 is about 342.6237718432.

The spelling of 40220964 in words is "forty million, two hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 151 196 252 294 302 441 453 588 604 882 906 1057 1359 1764 1812 2114 2718 3171 4228 5436 6342 7399 9513 12684 14798 19026 22197 22801 29596 38052 44394 45602 66591 68403 88788 91204 133182 136806 159607 205209 266364 273612 319214 410418 478821 638428 820836 957642 1117249 1436463 1915284 2234498 2872926 3351747 4468996 5745852 6703494 10055241 13406988 20110482 40220964