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94012416 = 210321012
BaseRepresentation
bin1011001101010…
…00010000000000
320112220022210100
411212220100000
5143031344131
613155002400
72221043451
oct546502000
9215808710
1094012416
1149081a13
1227599400
1316628364
14c6b3128
1583c07e6
hex59a8400

94012416 has 99 divisors (see below), whose sum is σ = 274173133. Its totient is φ = 31027200.

The previous prime is 94012409. The next prime is 94012417. The reversal of 94012416 is 61421049.

The square root of 94012416 is 9696.

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

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 3686400 = 9504^2 + 1920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 94012416.

It is not an unprimeable number, because it can be changed into a prime (94012417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 930766 + ... + 930866.

Almost surely, 294012416 is an apocalyptic number.

94012416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

94012416 is the 9696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94012416

94012416 is an abundant number, since it is smaller than the sum of its proper divisors (180160717).

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

94012416 is a wasteful number, since it uses less digits than its factorization.

94012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 94012416 is about 454.7036124733.

The spelling of 94012416 in words is "ninety-four million, twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1024 1152 1212 1536 1616 1818 2304 2424 3072 3232 3636 4608 4848 6464 7272 9216 9696 10201 12928 14544 19392 20402 25856 29088 30603 38784 40804 51712 58176 61206 77568 81608 91809 103424 116352 122412 155136 163216 183618 232704 244824 310272 326432 367236 465408 489648 652864 734472 930816 979296 1305728 1468944 1958592 2611456 2937888 3917184 5222912 5875776 7834368 10445824 11751552 15668736 23503104 31337472 47006208 94012416