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92016640 = 21254493
BaseRepresentation
bin1010111110000…
…01000000000000
320102010221002201
411133001000000
5142024013030
613044122544
72165062042
oct537010000
9212127081
1092016640
1147a39511
1226996454
13160a9b21
14c313a92
1581292ca
hex57c1000

92016640 has 52 divisors (see below), whose sum is σ = 220862124. Its totient is φ = 36798464.

The previous prime is 92016637. The next prime is 92016641. The reversal of 92016640 is 4661029.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 20647936 = 8448^2 + 4544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 92016599 and 92016608.

It is not an unprimeable number, because it can be changed into a prime (92016641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18234 + ... + 22726.

Almost surely, 292016640 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 92016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110431062).

92016640 is an abundant number, since it is smaller than the sum of its proper divisors (128845484).

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

92016640 is an equidigital number, since it uses as much as digits as its factorization.

92016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 92016640 is about 9592.5304273690. The cubic root of 92016640 is about 451.4629589022.

Adding to 92016640 its reverse (4661029), we get a palindrome (96677669).

The spelling of 92016640 in words is "ninety-two million, sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 4493 5120 8986 10240 17972 20480 22465 35944 44930 71888 89860 143776 179720 287552 359440 575104 718880 1150208 1437760 2300416 2875520 4600832 5751040 9201664 11502080 18403328 23004160 46008320 92016640