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61168404 = 223112103409
BaseRepresentation
bin1110100101010…
…1101100010100
311021002200021110
43221111230110
5111124342104
610023015020
71341631353
oct351255424
9137080243
1061168404
1131589800
121859a470
13c898a2b
1481a399a
155583e89
hex3a55b14

61168404 has 72 divisors (see below), whose sum is σ = 158791360. Its totient is φ = 18311040.

The previous prime is 61168399. The next prime is 61168409. The reversal of 61168404 is 40486116.

61168404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61168399) and next prime (61168409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61168409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149352 + ... + 149760.

Almost surely, 261168404 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 61168404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79395680).

61168404 is an abundant number, since it is smaller than the sum of its proper divisors (97622956).

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

61168404 is a wasteful number, since it uses less digits than its factorization.

61168404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61168404 is about 7821.0232067166. The cubic root of 61168404 is about 394.0116378501.

The spelling of 61168404 in words is "sixty-one million, one hundred sixty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 121 132 206 242 309 363 409 412 484 618 726 818 1133 1227 1236 1452 1636 2266 2454 3399 4499 4532 4908 6798 8998 12463 13497 13596 17996 24926 26994 37389 42127 49489 49852 53988 74778 84254 98978 126381 148467 149556 168508 197956 252762 296934 463397 505524 593868 926794 1390191 1853588 2780382 5097367 5560764 10194734 15292101 20389468 30584202 61168404