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472966416 = 243213733461
BaseRepresentation
bin11100001100001…
…110010100010000
31012221222011221200
4130030032110100
51432034411131
6114533151200
714502101556
oct3414162420
91187864850
10472966416
11222a8273a
1211248b500
1376cab3b0
1446b59bd6
152b7c82e6
hex1c30e510

472966416 has 120 divisors (see below), whose sum is σ = 1445412696. Its totient is φ = 143493120.

The previous prime is 472966409. The next prime is 472966441. The reversal of 472966416 is 614669274.

It can be written as a sum of positive squares in 4 ways, for example, as 2250000 + 470716416 = 1500^2 + 21696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134926 + ... + 138386.

Almost surely, 2472966416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472966416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722706348).

472966416 is an abundant number, since it is smaller than the sum of its proper divisors (972446280).

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

472966416 is a wasteful number, since it uses less digits than its factorization.

472966416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3552 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 472966416 is about 21747.7910602433. The cubic root of 472966416 is about 779.1303127246.

The spelling of 472966416 in words is "four hundred seventy-two million, nine hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 624 657 876 936 949 1168 1314 1752 1872 1898 2628 2847 3461 3504 3796 5256 5694 6922 7592 8541 10383 10512 11388 13844 15184 17082 20766 22776 27688 31149 34164 41532 44993 45552 55376 62298 68328 83064 89986 124596 134979 136656 166128 179972 249192 252653 269958 359944 404937 498384 505306 539916 719888 757959 809874 1010612 1079832 1515918 1619748 2021224 2159664 2273877 3031836 3239496 3284489 4042448 4547754 6063672 6478992 6568978 9095508 9853467 12127344 13137956 18191016 19706934 26275912 29560401 36382032 39413868 52551824 59120802 78827736 118241604 157655472 236483208 472966416